Ôn violympic toán tiếng Anh lớp 4 vòng 10

ĐỀ THI VIOLYMPIC TOÁN TIẾNG ANH LỚP 4 – VÒNG 10 Câu 7: In a running contest, Anna runs for hour, Tom runs for , David runs for hour, John runs for minutes.. ĐỀ THI VIOLYMPIC TOÁN TIẾNG

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ĐỀ THI VIOLYMPIC TOÁN TIẾNG ANH LỚP 4 – VÒNG 10

Ra ngày 26/8/2020 BÀI THI SỐ 1: THẾ GIỚI CÔN TRÙNG

Câu 1: The smallest fraction among is ……

Câu 2: After the first term, in class 4A; of students have excellent grades

Known that in total, students with good and excellent grades account for

students in the class What fraction below indicates the ratio of students having good grades to all students in class 4A?

Câu 6: Mark has 32 hedgehogs After selling of the hedgehogs, Mark keeps the

remaining hedgehogs in 6 cages How many hedgehogs are there in each cage?

a/ 5 hedgehogs b/ 4 hedgehogs c/ 3 hedgehogs d/ 6 hedgehogs

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ĐỀ THI VIOLYMPIC TOÁN TIẾNG ANH LỚP 4 – VÒNG 10 Câu 7: In a running contest, Anna runs for hour, Tom runs for , David

runs for hour, John runs for minutes Who runs fastest?

Câu 8: How many of below fractions are greater than ?

Câu 9: How many two – digit numbers are there such that at least one digit is

divisible by 4?

Câu 10: When two numbers are divided by 6, the remainders are 5 and 3

respectively What will the remainder be if the sum of this two numbers are divided by 6?

BÀI THI SỐ 2 – ĐỪNG ĐỂ ĐIỂM RƠI

Câu 1: The value of A + , such that: , is ……

Câu 2: Computer the sum: = …

Câu 3: How many of below fractions are greater than 1?

Answer: There are …… fractions

Câu 4: The average of and is ……

(Write your answer as a fraction in the simplest form a/b)

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Câu 5: The average of three numbers is 1 The first number is , the second

number is What is the third number?

Answer: ……

Câu 6: Find x such that:

Answer: ……

Câu 7: A house has two windows Each window is 1m 2dm wide, each windows

bar is m separated from There are no window bars at either end of the window How many windows bar does the house have?

Answer: …………

Câu 8: Tom has a rectangular land that is long The length is longer

than the width Half of that land is used to plant trees, and the area is used to make roads What is area of the remaining land in m2?

Answer: ………m2

Câu 9: Suppose in subtraction problem, the units digit of the subtrahend and the

tens digit of the minuend are written as 7 mistakenly instead of 1, and result is

560 Find the original answer to the problem

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Câu 1: The value of 35 x 45 + 21 x 35 + 34 x 35 is ………

Câu 2: City A has population of 895 430, city B has population of 733 017 The

population of city C is 41 299 people fewer than city A How many people does city C have move than city B?

Answer: ……

Câu 3: As in the figure below, a 4 x 4 grid is separated into 5 pieces Fill in 1, 2, 3

and 4 in the boxes respectively to make the four numbers in each line and each row different while the sum of the numbers on each piece is the same

Câu 5: The figure shows some points arranged in a 4 x 4 grid as shown Find the

number of different squares which can be formed using any four of these 16 points

as vertices

Answer: ……

Câu 6: Sam does not have many socks, so she has a clever idea: If she wears

mismatched socks, then she can make lots of different pairs! How many different

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socks must Sam have at least to make sure that she can wear a different pair everyday for a whole month?

Câu 9: The telephone was invented in 1876 by Alexander Graham Bell In which

century is that year?

Câu 10: Given a number (x is a digit) How many choices of x are there

such that this number is divisible by 3 but not divisible by 9?

Câu 15: During the first hour, a car completes of the total distance, and it

completes of the total distance in the next hour After two hours of travelling, find the fraction indicating the remaining distance?

Answer: ……

Câu 16: The largest two – digit – number which is divisible by 2 and has

remainder 2 when it is divided by 5 is ………

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Câu 17: A rectangular park has a length of 4000m and a width of 3000m The

area of that park is …… km2

Câu 20: Mom gives An 72 000 VND to buy notebooks If the price of each

notebook is 12 000 VND, then how many notebooks can An buy at most?

a/ 6 notebooks b/ 7 notebooks c/ 5 notebooks d/ 4 notebooks

Câu 21: Anna has fewer than 18 cakes but more than 8 cakes If Anna divides the

number of cakes equally among 5 people, then there are 3 cakes are left How many cakes does Anna have?

Answer: ……

Câu 22: Four soccer balls cost $36, three basketballs cost $33 How much would

it cost to buy 5 soccer balls and 7 basketballs?

Câu 23: Anna buys 6 dozen of pencils She shares of them with her brother and

of the rest with her sister How many pencils does she have left?

Câu 24: How many pairs of parallel lines are there in the figure below?

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Câu 25: People in Thai Nguyen province participate in planting trees festival In

the first 15 days, they plant 1400 trees In the next 15 days, they plant 1000 trees

On average, how many trees does they has to grow every day?

a/ 80 trees b/ 33 trees c/ 47 trees d/ 140 trees

Câu 26: The value of expression 13 x 25 + 13 x 75 + (554 + 566) : 5 : 7 is … Câu 27: How many numbers between 2019 and 9102 are divisible by 5?

Câu 28: The following chart shows the price of one item (unit: thousand VND)

for pen, pencil, ruler and eraser How much more does a student pay to buy onepencil and one ruler other than one pen and one eraser?

Answer: …… thousand VND

Câu 29: A rectangular TV has a length of 80cm and a width of 50cm If the border

is 5 cm thick, the area of the screen is ……… cm2

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Câu 30: Binh spent 140000 VND buying three items The first one costs of the

total spending, the second is 6 times as much as the last one What is the price of the second one?

Câu 34: If a = 8 then the value of 4589 + a x 1218 – 8776 is ………

Câu 35: The number of yellow and green marbles in total is 61 There are 11

green marbles more than the yellow ones The number of yellow marbles is:

Câu 36: The parallelogram ABCD has:

a/ AB is parallel to BC b/ AD is parallel to CD

c/ AD is parallel to BC d/ AC is parallel to BD

Câu 37: A farmer used some poles to fence a square land There is a door whose

width is exactly a third of a side satisfying 2 door jambs are coincided 2 poles The distance between two poles is fixed If he used 28 poles for each of three sides that don’t have the door, then how many poles did he use?

Câu 40: Lan has fewer than 48 pieces of candy but more than 25 pieces Lan can

divide the number of her candies equally among 9 friends, but if those candies are equally divided among 5 friends then she need 3 candies more How many

candies does Lan have?

Answer: ……

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Câu 41: Calculate: 76 × 44 + 36 × 77 + 644 × 11 = ….

Câu 42: One of the three brothers A, B and C took the pizza Their mother asked

them who took it and they answered:

A: “B took the pizza”

B: “I took the pizza”

C: “A took the pizza”

If only one of the three brothers was telling the truth, then who took the

Câu 43: Observe the pattern in the figure, find

Câu 44: An’s watch is 10 minutes slow, but he thinks that it is 5 minutes fast

Meanwhile, Khang’s watch is 5 minutes fast, but he believes it is 10 minutes slow.Looking at his watch, An thinks it is now 12.00 What time does Kang think it is now?

Câu 45: Bili is making figures with toothpicks according to the pattern as shown

in the diagram How many toothpicks does Bili need to add to the 10th figure to make the 11th?

Answer: ……

Câu 46: The difference between two numbers is the smallest distinct 3 –digit

natural number and their ratio is 5: 3 What is the value of the larger number?Answer: ……

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Câu 47: In the multiplication: PT × PT = FPT, same letters stand for same digits

Câu 49: Fill in the blank: 99; 92; 86; …; 77

Câu 50: A student adds three natural numbers VIO, IO and O together to get a 3 –

digit sum where the same letter represents the same digit What is the maximumvalue to be obtained?

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Câu 56: How many 2 –digit numbers are there such that it is divisible by 9 and

has remainder 1 and 3 when it is divided by 2 and 5 respectively?

a/ 2 numbers b/ 1 numbers c/ 3 numbers d/ 4 numbers

Câu 57: Find the value of expression (728 + n) × 5 when n = 523

Answer:……

Câu 58: Geogre receives a half of a dozen of white envelopes In each of these

white envelopes, there are 5 red envelopes In each red envelope, there are 4 otherblue envelopes How many envelopes does he receive in total?

Câu 59: How many 3-digit numbers are there such that it is divisible by 45 and

has 4 as the tens digit?

a/ 3 numbers b/ 2 numbers c/ 5 numbers d/ 4 numbers

Câu 60: Give 5 digits 0; 2; 3; 6; 8 Using these digits, how many 3 – distinct –

digit numbers can we find such that each number is divisible by 3?

Answer: ……

Câu 61: If February is a month that contains Friday the 13th, what day of the week

is February 1?

Câu 62: According to the pattern below, which of the following figures should be

filled in “?” ?

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a/ picture D b/ picture A c/ picture B d/ picture C

Câu 63: Mark finds the sums of pairs of two consecutive even natural numbers

(without repetition)

Example: Pair 1: 0 + 2; Pair 2: 4 + 6; …

What is the result he may find for the 2019th pair?

Câu 64: The result after carrying out 4 continuous calculations: add 2019,

subtract 2020, multiply by 714, divide by 2022 is 2023 What is the initialnumber?

Answer: ………

Câu 65: As in the figure below, a large rectangle is formed by 9 rectangles Given

that the area of rectangle 1 is 1cm2, the area of rectangle 2 is 2cm2, the area of rectangle 3 is 3cm2, the area of rectangle 4 is 4cm2, and the area of rectangle 5 is 5cm2 Find the area of rectangle 6 in cm2

Câu 66: An, Binh and Cuong got some notebooks as rewards from their teacher

At first, An had three times as many notebooks as Binh and Binh had twice as many notebooks as Cuong Then, An decides to give some of his rewards to Binh and Cuong so that they will have the same number of notebooks What fractions

of his notebooks should An give to Binh?

Câu 67: How many triangles are there in the following figure?

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Answer: ……

Câu 68: A rectangular garden 50m long and 10m wide is enclosed by a fence To

make the garden larger, while using the same fence, its shape is changed to asquare By how many square meters does this enlarge the garden?

Câu 69: On a journey, Tuan found a bag containing 50 coins The total value of

these coins was 181 cents, and there were only two-cent coins or five – cent coins.Then how many more five-cent coins are there more than two – cent coins?

Answer: ……

Câu 70: The average are of a group of 11 students is 23 If we add a teacher to

that group, the average age is 25 How old is the teacher?

Answer: ……

Câu 71: There are 4 statements about the natural number A:

(1): A is divisible by 5 (2): A is divisible by 11

(3): A is divisible by 55 (4): A is less than 10

It is known that 2 of these statements are true, and 2 are false Then A = ?

Câu 72: Candice has 7 times as many candies as her brother Alex If she gives

Alex 5 candies of hers Candice will have thrice as many candies as him How many candies does Candice have?

Answer: ……

Câu 73: Given that a clock strikes 4 times “Dong – dong – dong – dong” at 4

o’clock, which takes 6 seconds How many seconds does it take for the same clock to strike 12 times at 12 o’clock?

Câu 74: In how many ways can we simplify the fraction ?

Answer: ………

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Câu 75: Fill each of the “+, -, x, :” into the four ’s as in 10 10 10 10 10.

Find the maximum value of this equation

Câu 80: John reads a book that has 208 pages from page 1 to page 208 How

many times does the digit “2” appear on the page numbers of the book?

Câu 81: In a class 14 students collect stamps, 16 students collect postcards 5

students collect both, but 4 students collect neither How many students are there

in the class?

Answer: ……

Câu 82: Using four digits 2, 0, 1, 9 exactly once to fill the expression:

+ - x What is the maximum value to be obtained?

Câu 83: A group of students is assigned to plant a number of trees within a week

from Monday They plan to plant two more trees every day than the previous one

On Thursday, they plant 57 trees On the last day, they only have to plant 33 treesleft How many trees in total are they assigned to plan?

Answer: ………

Câu 84: Harry buys 20 books and 19 notebooks for $98 On the next day, he buys

19 books and 20 notebooks for $97 How much is one notebook?

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Answer: $

Câu 85: Ryan creates a 2 – character code with the former from the word

VIOLYMPIC and the latter from the number 2019 How many different codes he create?

Câu 86: Larry writes the number 2019 on the board He then starts to write other

numbers by adding 3 to the previous one What could be the 2019th number on the board?

Answer: ………

Câu 87: The length of a rectangular garden is 3 times as long as its width If the

width is 10m, the area of that garden is …

Câu 88: Mr.Zack writes down 4 distinct numbers on a piece of paper No number

on the paper is the difference between any two of the other numbers What is theleast possible total of these 4 numbers?

Answer: ……

Câu 89: Fill numbers 1 ~ 9 into the circles below respectively to make the sum of

the numbers on each side the same Given that each number can only be used once, and that a few numbers are already filled in the circles, find

Answer: ………

Câu 90: The following chart shows the dream job of students (each student

chooses only one job) in class 4B Which of the followings represents the ratiobetween the number of students whose dream job is scientist and the total number

of students in the class?

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Câu 91: If you only have 5 – cent and 8 – cent coins and a all the candies below

are only sold in exact change, how many candies can be purchased with yourcoins?

Câu 92: There are 39 boys and 23 girls in the singing group Every week 6 more

boys and 8 more girls join the group So after how many weeks will the number ofboys and girls be equal?

Answer: ……

Câu 93: Find the value of sum:

Answer: ……

Câu 94: The following sequence has 9 terms, in which the first and the last are

known, the seven in the middle is unknown: 3 2019 The differences between two consecutive terms in the sequence are all the same What

is the value of the fourth rightmost term?

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Answer: ……

Câu 95: To number pages of a Maths book from Page 1, the author uses 600

digits How many pages are there in the book?

The value of the expression A + B is ……

Câu 98: If A∇B represents A x B – 2019, then what is the value of (45∇67)∇89?

Câu 99: When we write 864 between the two digits, we get a 5 – digit number

When the new number is divided by 2; 5 and 9; we always get remainder 1 Find the 5 digit number

Answer: ……

Câu 100: Some students are exchanging their toys They all agree that 2 teddy

bears are exchanged for 1 book 1 doll is exchanged for 1 book and 3 teddy bears.Annie has 2 dolls, so how many teddy bears can she exchange for?

Answer: …… teddy bears

Câu 101: Mr Zack has 24 pieces of paper On a rainy day, he decided to cut some

of the pieces in to 8 smaller pieces each At the end, the total number of pieces isten times the number of pieces that were cut How many pieces of paper were cut?Answer: ……

Câu 102: Fill in the sequence:

1 4 6 9 11 14 16 19 ?

Câu 103: Choose the largest fraction in the followings:

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Câu 104: The average age of three random foreigners is 32 The boy’s age is of

the total age, while the woman’s age is of the man’s age How old is the woman?

Câu 105: An, Binh and Cuong are fiven 75 notebooks in total An gives Binh 20

of hers, Binh gives Cuong 1 of his and Cuong gives An 9 of his It surprisinglyturns out that they now have the same number of notebooks How manynotebooks does An have initially?

Câu 108: Complete the sequence: 2; 3; 3; 5; 10; 13; 39; 43; …

Câu 109: Find x such that: x + (x + 1) + (x + 2) + … + (x + 21) = 253.

Câu 110: The product of two distinct natural numbers is 144 What is their

minimum possible difference?

Answer: ……

Câu 111: There are 50 – odd people going camping Suppose there will be 1

person short when they are divided into groups of seven of eight, how many

people are there?

Answer: …

Câu 112: There are ………2 – digit numbers that are divided by 2 but not divided

by 3

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Câu 113: Give then parallelogram as shown below:

Known that the perimeter of the parallelogram is 56cm AH = CD, BC = 13cm The area of the parallelogram ABCD is ……cm2

Câu 114: The expression whose value is divisible by 3 is:

a/ 40 x 97 + 40 x 53 b/ 162 : 20 + 238 : 20

c/ 14 x 159 – 14 x 59 d/ 27 x 11 + 103

Câu 115: The average of all two-digit numbers which is divisible by 2, divisible

by 3 and have remainder 1 when it is divided by 5 is:

Câu 116: The total of each row and column is given in the table.

Find the value of

Answer: …

Câu 117: Find a three-digit number which is divisible by 9, have remainder 1 and

4 when it is divided by 2 and 5 respectively and have hundreds digit 4

Answer: …

Câu 118: Find the unit digit of

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Câu 119: The first 2019 natural numbers are listed on a piece of paper Students

are then asked to cross out multiples of 5 and find the product of the remainingnumbers What is the unit digit of the product?

Câu 120: Four towns P, Q, R, S are connected by roads as below There is a race

where each racer must use each road exactly once The race starts at S and end at

Q How many possible routes are there?

Câu 123: On a rectangular field whose length is 24 meters and width is a half the

length; a house was built in the shape of a square whose side is 9 meters and the rest is for gardening What’s the area of the garden?

Answer: ……….m2

Câu 124: The 2019th even number (including 0) is………

Câu 125: A rice shop sells 200kg of rice during the first 14 days In the next 16

days, 250kg of rice is sold How many kilograms of rice does the store sell each day on average?

Answer: …

Câu 126 A pool is 12m long and 10m wide If you place flower pots around the

pool 2 meters apart, center to center, how many flower pots do you need? (There should be a flower pot at each corner of the pool)

Answer: …

Câu 127: If m = 2136 then 3294 – m : 6 = ……

Câu 128: Find x such that: 12 044 : x – 3200 : x = 67

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Câu 129: Ngoc has 16 letters: 4 letters A, 4 letters B, 4 letters C and 4 letters D

He puts them in the 4 x 4 grid below, in such a way that every row and every column has 4 letters A, B, C, D What letter should he put in the position of the question mark?

Câu 130: By switching the positions of the two digits, 12 turns into a larger

number 21 How many two-digit natural numbers (excluding 12) having thisproperty?

Answer: …

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HƯỚNG DẪN GIẢI Bài thi số 1: Thế giới côn trùng

Câu 1: The smallest fraction among is ……

Câu 2: After the first term, in class 4A; of students have excellent grades

Known that in total, students with good and excellent grades account for

students in the class What fraction below indicates the ratio of students having good grades to all students in class 4A?

Sau học kỳ đầu tiên, trong lớp 4A; học sinh có điểm xuất sắc Được biết, trong

tổng số, học sinh có điểm tốt và xuất sắc chiếm học sinh trong lớp Phần nào dưới đây cho thấy tỷ lệ học sinh có điểm tốt trong tất cả số học sinh trong lớp 4A?

Hướng dẫn

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Phân số chỉ số học sinh tốt là: (tổng số học sinh)

Chọn a

Câu 3: 24 years + x year (s) = century What is the value of x?

24 năm + x năm = thế kỉ Giá trị của x là gì?

Câu 5: How many natural numbers x satisfying ?

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Câu 6: Mark has 32 hedgehogs After selling of the hedgehogs, Mark keeps the

remaining hedgehogs in 6 cages How many hedgehogs are there in each cage?

Mark có 32 con nhím Sau khi bán được con nhím, Mark giữ những con nhím còn lại trong 6 lồng Có bao nhiêu con nhím trong mỗi lồng?

a/ 5 hedgehogs b/ 4 hedgehogs c/ 3 hedgehogs d/ 6 hedgehogsHướng dẫn

Số con nhím đã bán là: 32 : 4 = 8 (con)

Số con nhím còn lại là: 32 – 8 = 24 (con)

Mỗi lồng có số con là: 24 : 6 = 4 (con)

Chọn b

Câu 7: In a running contest, Anna runs for hour, Tom runs for , David

runs for hour, John runs for minutes Who runs fastest?

Trong một cuộc chạy đua, Anna chạy hết giờ, Tom chạy hết giờ, David chạy

hết giờ, John chạy hết 11 phút Ai chạy nhanh nhất?

Hướng dẫn

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Đổi: giờ = 15 phút; giờ = 10 phút; giờ = 12 phút

Thời gian càng ngắn thì người đó chạy càng nhanh

Vì 15 > 12 > 11 > 10 nên Tom chạy nhanh nhất

Chọn A

Câu 8: How many of below fractions are greater than ?

Có bao nhiêu phân số lớn hơn ?

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Câu 10: When two numbers are divided by 6, the remainders are 5 and 3

respectively What will the remainder be if the sum of this two numbers are

Tổng hai số này chia cho 6 sẽ có số dư bằng số dư của (5 + 3) : 6

8 chia 6 dư 2 nên tổng này chia cho 6 sẽ dư 2

Chọn d

BÀI THI SỐ 2 – ĐỪNG ĐỂ ĐIỂM RƠI

Câu 1: The value of Giá trị của A + , such that biết rằng: , is …….Hướng dẫn

Câu 3: How many of below fractions are greater than 1?

Có bao nhiêu phân số dưới đây lớn hơn 1?

Answer: There are …… fractions

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Câu 5: The average of three numbers is 1 The first number is , the second

number is What is the third number?

Trung bình cộng của ba số là 1 Số thứ nhất là , số thứ hai là Số thứ ba là gì?

Hướng dẫn

Tổng 3 số là: 1 x 3 = 3

Số thứ ba là:

Điền 14/9

Câu 6: Find x such that: Tìm x biết rằng:

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Điền 14/17

Câu 7: A house has two windows Each window is 1m 2dm wide, each windows

bar is m separated from There are no window bars at either end of the window How many windows bar does the house have?

Một ngôi nhà có hai cửa sổ Mỗi cửa sổ rộng 1m 2dm, mỗi thanh cửa sổ cách nhau Không có thanh cửa sổ ở hai đầu cửa sổ Hỏi nhà có bao nhiêu thanh cửa sổ?

Hướng dẫn

Đổi 1m 2dm = 12dm, = 1dm

Một cửa sổ có số thanh là: 12 : 1 – 1 = 11 (thanh)

Nhà có số thanh cửa sổ là: 11 x 2 = 22 (thanh)

Điền 22

Câu 8: Tom has a rectangular land that is long The length is longer

than the width Half of that land is used to plant trees, and the area is used to make roads What is area of the remaining land in m2?

Một nửa mảnh đất sử dụng để trồng cây và diện tích sử dụng làm đường đi Diện tích còn lại của mảnh đất là bao nhiêu mét vuông?

Answer: ………m2

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Diện tích làm đường đi là: 80 : 8 = 10 (m2)

Diện tích còn lại của mảnh đất là: 80 – 40 – 10 = 30 (m2)

Điền 30

Câu 9: Suppose in subtraction problem, the units digit of the subtrahend and the

tens digit of the minuend are written as 7 mistakenly instead of 1, and result is

560 Find the original answer to the problem

Giả sử trong bài toán trừ, chữ số đơn vị của số trừ và chữ số hàng chục của số bị trừ được viết là 7 nhầm thay vì 1, và kết quả là 560 Tìm câu trả lời ban đầu cho bài toán.

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BÀI THI SỐ 3 - LEO DỐC

Câu 1: The value of 35 x 45 + 21 x 35 + 34 x 35 is ………

Giá trị của 35 x 45 + 21 x 35 + 34 x 35 là …………

Hướng dẫn

35 x 45 + 21 x 35 + 34 x 35 = 35 x (45 + 21 + 34) = 35 x 100 = 3500

Điền 3500

Câu 2: City A has population of 895 430, city B has population of 733 017 The

population of city C is 41 299 people fewer than city A How many people does city C have move than city B?

Công ty A có 895 430 người, công ty B có 733 017 người Số người của công ty C

ít hơn công ty A 41 299 người Hỏi công ty C nhiều hơn công ty B bao nhiêu người?

Hướng dẫn

Công ty C có số người là: 895 430 – 41 299 = 854 131 (người)

Công ty C hơn công ty B số người là: 854 131 – 733 017 = 121 114 (người)Điền 121114

Câu 3: As in the figure below, a 4 x 4 grid is separated into 5 pieces Fill in 1, 2, 3

and 4 in the boxes respectively to make the four numbers in each line and each row different while the sum of the numbers on each piece is the same

Find A + B + C + D

Như trong hình dưới đây, lưới 4 x 4 được tách thành 5 mảnh Điền các số 1, 2, 3

và 4 vào các ô tương ứng để làm cho bốn số trong mỗi dòng và mỗi hàng khác nhau trong khi tổng các số trên mỗi phần là như nhau.

Tìm A + B + C + D.

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Ta có: 35 + 6 = 41

Tổng các chữ số trong 9 ô vuông là: 4 + 1 + 3 + 3 + 6 + 3 + 6 + 5 + 9 = 40

Chọn c

Câu 5: The figure shows some points arranged in a 4 x 4 grid as shown Find the

number of different squares which can be formed using any four of these 16 points

as vertices

Hình vẽ cho thấy một số điểm được sắp xếp trong lưới 4 x 4 như được hiển thị Tìm số lượng hình vuông khác nhau có thể được hình thành bằng cách sử dụng bất kỳ bốn trong số 16 điểm này làm đỉnh.

Câu 6: Sam does not have many socks, so she has a clever idea: If she wears

mismatched socks, then she can make lots of different pairs! How many differentsocks must Sam have at least to make sure that she can wear a different pair everyday for a whole month?

Sam không có nhiều vớ, vì vậy cô ấy có một ý tưởng thông minh: Nếu cô ấy mang

vớ không phù hợp, thì cô ấy có thể tạo ra nhiều đôi khác nhau! Sam phải có bao

Trang 33

nhiêu đôi tất khác nhau để đảm bảo rằng cô ấy có thể mang một đôi khác nhau mỗi ngày trong cả tháng?

Hướng dẫn

Hai đôi tất thường thì tạo thành một đôi mới

Gọi số đôi tất khác nhau Sam cần là n thì số đôi tất mới là: n x (n – 1) : 2Theo đề bài thì: n x (n – 1) : 2 ≥ 31

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Câu 8: Find x such that Tìm x biết rằng: 100 x (x : 20) = 400

Câu 9: The telephone was invented in 1876 by Alexander Graham Bell In which

century is that year?

Điện thoại được phát minh vào năm 1876 bởi Alexander Graham Bell Năm đó là thế kỷ nào?

Chọn b

Câu 10: Given a number (x is a digit) How many choices of x are there

such that this number is divisible by 3 but not divisible by 9?

Cho một số (x là 1 chữ số) Có bao nhiêu các chọn x biết rằng số này chia hết cho 3 nhưng không chia hết cho 9.

Hướng dẫn

Để chia hết cho 3 thì tổng các chữ số phải chia hết cho 3

Ta có: 1 + 3 + 5 + 2 + x = 11 + x.

11 + x chia hết cho 3 suy ra x = 1; 4; 7.

x = 7 thì 11 + 7 = 18 chia hết cho 9 nên không thỏa mãn.

Vậy chỉ có 2 giá trị của x thỏa mãn điều kiện đề bài.

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Giá trị của biểu thức A = 384 x 487 + 384 x 513 không chia hết cho:

Hướng dẫn

A = 384 x 487 + 384 x 513 = 384 x (487 + 513) = 384 x 1000 = 384000

A có tận cùng = 0 nên A chia hết cho 2 và 5

A có tổng các chữ số bằng 15 nên A chia hết cho 3 và không chia hết cho 9

Chọn d

Câu 13: Which of the following operations have the result of 24?

Phép tính nào dưới đây có kết quả là 24?

Câu 15: During the first hour, a car completes of the total distance, and it

completes of the total distance in the next hour After two hours of travelling, find the fraction indicating the remaining distance?

Trong giờ thứ nhất, một ô tô hoàn thành được tổng quãng đường, và nó hoàn

thành được tổng quãng đường trong giờ tiếp theo Sau hai giờ di chuyển, tìm phân số chỉ quãng đường còn lại?

Hướng dẫn

Phân số chỉ quãng đường còn lại là:

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Điền 1/20

Câu 16: The largest two – digit – number which is divisible by 2 and has

remainder 2 when it is divided by 5 is ………

Số lớn nhất có 2 chữ số mà số đó chia hết cho 2 và có số dư là 2 khi chia nó cho 5

Câu 17: A rectangular park has a length of 4000m and a width of 3000m The

area of that park is …… km2

Một công việc hình chữ nhật có chiều dài là 4000m và chiều rộng là 3000m Diện tích của công viên là ……….km 2

Câu 18: Which of the following operations have the greatest result?

Phép tính nào dưới đây có kết quả lớn nhất?

a/ 9120 : 152 b/ 6944 : 112 c/ 8142 : 138 d/7946 : 137 Hướng dẫn

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Hướng dẫn

Chiều dài khu vườn là: 160 : 10 = 16 (m)

Chu vi khu vườn là: (16 + 10) x 2 = 52 (m)

Chọn c

Câu 20: Mom gives An 72 000 VND to buy notebooks If the price of each

notebook is 12 000 VND, then how many notebooks can An buy at most?

Mẹ cho An 72 000 VND để mua vở Nếu giá mỗi quyển vở là 12 000 đồng, thì An

có thể mua nhiều nhất bao nhiêu quyển vở?

a/ 6 notebooks b/ 7 notebooks c/ 5 notebooks d/ 4 notebooksHướng dẫn

Ta có: 72000 : 12000 = 6

Vậy An mua được nhiều nhất 6 quyển vở

Chọn a

Câu 21: Anna has fewer than 18 cakes but more than 8 cakes If Anna divides the

number of cakes equally among 5 people, then there are 3 cakes are left How many cakes does Anna have?

Anna có số bánh ít hơn 18 cái nhưng nhiều hơn 8 cái Nếu Anna chia số bánh cho

5 người thì còn thừa 3 cái Hỏi Anna có bao nhiêu cái bánh?

Hướng dẫn

Số bánh của Anna lớn hơn 8 nhỏ hơn 18 và chia cho 5 dư 3

Vậy Anna có 13 cái bánh

Điền 13

Câu 22: Four soccer balls cost $36, three basketballs cost $33 How much would

it cost to buy 5 soccer balls and 7 basketballs?

4 quả bóng đá có giá 36$, 3 quả bóng rổ có giá 33$ Hỏi mua 5 quả bóng đá và 7 quả bóng rổ hết bao nhiêu tiền?

Hướng dẫn

Giá tiền 1 quả bóng đá là: 36 : 4 = 9 ($)

Giá tiền 1 quả bóng rổ là: 33 : 3 = 11 ($)Giá tiền 5 quả bóng đá và 7 quả bóng rổ là: 9 x 5 + 11 x 7 = 122 ($)

Chọn B

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Câu 23: Anna buys 6 dozen of pencils She shares of them with her brother and

of the rest with her sister How many pencils does she have left?

Anna mua 6 tá bút chì Cô ấy cho anh trai số đó và số còn lại cho chị của cô

ấy Hỏi cô ấy còn lại bao nhiêu bút chì?

Hướng dẫn

Đổi: 1 tá = 12

Anna mua số bút chì là: 6 x 12 = 72 (chiếc)

Anna cho anh trai số bút chì là: 72 : 4 = 18 (chiếc)

Sau khi cho anh trai Anna còn số bút chì là: 72 – 18 = 54 (chiếc)

Anna cho chị số bút chì là: 54 : 2 = 27 (chiếc)

Anna còn lại số bút chì là: 54 – 27 = 27 (chiếc)

Chọn C

Câu 24: How many pairs of parallel lines are there in the figure below?

Có bao nhiêu cặp cạnh song song trong hình dưới?

Hướng dẫn

Có 8 cặp cạnh song song là: AB // CD, AD // BC, EF // KG, EF // DH,

KG // DH, EA // FK, EA // GH, FK // GH

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Chọn c

Câu 25: People in Thai Nguyen province participate in planting trees festival In

the first 15 days, they plant 1400 trees In the next 15 days, they plant 1000 trees

On average, how many trees does they has to grow every day?

Người dân ở tỉnh Thái Nguyên tham gia lễ hội trồng cây Trong 15 ngày đầu tiên,

họ trồng được 1400 cây Trong 15 ngày tiếp theo, họ trồng được 1000 cây Hỏi trung bình, họ trồng được bao nhiêu cây mỗi ngày?

a/ 80 trees b/ 33 trees c/ 47 trees d/ 140 trees

Câu 26: The value of expression 13 x 25 + 13 x 75 + (554 + 566) : 5 : 7 is …

Giá trị của biểu thức 13 x 25 + 13 x 75 + (554 + 566) : 5 : 7 là ….

Hướng dẫn

13 x 25 + 13 x 75 + (554 + 566) : 5 : 7

= 13 x (25 + 75) + 1120 : 5 : 7 = 13 x 100 + 224 : 7 = 1300 + 32 = 1332Điền 1332

Câu 27: How many numbers between 2019 and 9102 are divisible by 5?

Có bao nhiêu số giữa 2019 và 9102 chia hết choh 5?

Câu 28: The following chart shows the price of one item (unit: thousand VND)

for pen, pencil, ruler and eraser How much more does a student pay to buy onepencil and one ruler other than one pen and one eraser?

Biểu đồ sau đây cho thấy giá của một mặt hàng (đơn vị: nghìn đồng) cho bút, bút chì, thước kẻ và tẩy Hỏi học sinh mua một cây bút chì và một cây thước phải trả hơn bao nhiêu tiền một cây bút và một cục tẩy?

Answer: …… thousand VND

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