tài liệu bài tập VIOLYMPIC MATH 5

UNIT 9: Trapezoids - Area of a Trapezoid Hình thang - Diện tích hình thangNumber of questions:38 Remain time: 59 minutes 43 seconds Find the area of a trapezoid such that the two bases a

Question 6

Convert

to a fraction.

Fill in the blank with the correct symbol (>; =; <):

44 km/h

43 km/h

42.9 km/h

45 km/h

Question 24

Calculate:

Write the decimal fraction as decimal:

Question 30

Hung walked

miles on Wednesday He walked

miles on Thursday How many more miles did he walk

Question 35

Convert:

Question 36

Calculate:

Question 37

Calculate:

Tom’s family ate

apple pies Ha’s family ate

apple pies How much pie did both families eat?

UNIT 2: Decimal Numbers (Số thập phân)

In the tenths place

In the thousandths place

In the units place

In the hundredths place

Question 17

Write

Question 18

Write

as decimal fraction whose denominator is 10?

I have two digits in the decimal part I am greater than

75 but less than 80.

What least possible number am I?

UNIT 3: Comparing Decimal Numbers (So sánh các số thập phân)

Tom buys 3.15 kilograms of apples Ha buys 3.2

kilogram of apples Compare the weight of apples?

Tom buys less kilogram apples than Ha

Tom and Ha have equal amount

Tom buys more kilogram apples than Ha

Question 25

Find the digit x, knowing that:

UNIT 4: Adding-Subtracting-Multiplying-Dividing Decimal Numbers (Phép cộng, trừ, nhân, chia số thập phân)

Minh wants to buy apple Which is the best buy?

5kg of apples for 21.5 dollars

4kg of apples for 17.32 dollars

6kg of apples for 26.1 dollars

7kg of apples for 30.38 dollars

44.7

45.7

40.7

The cost of 2 kilograms of oranges is 2.31 dollars.

What is the cost of 12 kilograms of oranges?

13.68 dollars

liters, the second barrel contains 34.23 liters, the third barrel contains 12.4 liters.

How many liters of oil are there in total?

Hien scores on six of her eight pictures The percentage

of pictures that she does not score on is %.

302

301

At the beginning of the summer, Binh was 140 cm tall

At the end of the summer, he measured his height again and discovered that it had increased by 5% Measured in

cm, what was his height at the end of summer?

37.25 dollars

A clothing shop is having a 40% off sale

How much would a shopper have to pay for a shirt with its original price is 20 dollars?

11 dollars

22 dollars

12 dollars

A clothing shop is having a 40% off sale How much

would Jane have to pay for a 30 dollars sweater with a 40% discount?

The area of a rectangle is

If it's length is increased by 10% and it's width is

decreased by 20% then the area of new rectangle

is

59:41

Convert the following to seconds

3 minutes 25 seconds = seconds.

August 27th

August 30th

Question 14

Convert the following to minutes

4 hours 15 minutes = minutes.

2 hours and 15 minutes

1 hour and 65 minutes

1 hour and 75 minutes

1 hour and 35 minutes

It took Ha a week and two days to fix the fence How many hours did he spend fixing the fence?

An artificial satellite orbits the earth and makes 5

revolutions in 9 hours 20 minutes How long does it take the satellite to make 1 revolution?

1 hours 52 minutes

1 hours 42 minutes

2 hours 52 minutes

1 hours 50 minutes

Question 31

Sophia plants ten trees every three minutes If she

continues planting at the same rate, how long will it take she to plant 250 trees?

Question 35

A bus takes 3 hours 20 minutes to travel from Ha Noi to Thanh Hoa and another 2 hours 25 minutes to move to Nghe An How long does it take that bus to go from Ha Noi to Nghe An?

Lan spends an average of 4 hours 15 minutes every

morning at school She has classes 5 days per week How much time does Lan spend at school every week?

21 hours 15 minutes

20 hours 15 minutes

21 hours 20 minutes

11 hours 15 minutes

2 hours and 55 minutes

2 hour and 45 minutes

1 hour and 55 minutes

1 hour and 45 minutes

Question 39

Minh reads 25 pages of book per 5 hours How many pages of book that were read by Minh per day?

145 pages

A taxi hurries 168 miles in 180 minutes What is its

average speed in miles per hour?

Question 4

A minibus drives 66 miles in 90 minutes What is its

average speed in miles per hour?

Question 5

Mike rides his motorcycle with a constant speed of 36 miles per hour How long will he take to travel a distance

of 120 miles?

15 miles per hour

20 miles per hour

18 miles per hour

Question 10

Hung rides his horse 33 miles in 198 minutes What is his average speed in miles per hour?

20 miles per hour

10 miles per hour

11 miles per hour

30 miles per hour

Question 11

An airplane flies 88 miles in 258 minutes What is its average speed in miles per hour?

22 miles per hour

20.5 miles per hour

21 miles per hour

21.5 miles per hour

34 miles per hour

32 miles per hour

30 miles per hour

35 miles per hour

hour How long will it take to travel a distance of 310 miles?

17 km

19 km

A car runs from A to B in 6 hours The distance AB is

240 km Find the speed of car.

40 km/h

50 km/h

60 km/h

20 km/h

Question 26

A train can travel 50% faster than a car Both start from point A at the same time and reach point B 75 kms away from A at the same time On the way, however, the train lost about 12.5 minutes while stopping at the stations The speed of the car is:

A car travels a distance of 135 km in 3 hours A

motorbike travels the same distance in 4 hours 30

minutes.

How many more kilometers per hour does the car travel compared to the motorbike?

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer If Abhay doubles his speed, then he would take 1 hour less than Sameer Abhay's speed is:

\frac{1}{2}

\frac{2}{3}

kilometers will the motorbike be away from B?

Question 38

A man covered a certain distance at some speed Had he moved 3 kmph faster, he would have taken 40 minutes less If he had moved 2 kmph slower, he would have taken 40 minutes more The distance (in km) is:

A bicycle travels from A to B at a speed of 12 km/h

After 3 hours, a motorbike also starts travelling from A

2 hours 30 minutes

59:54

What is the area of this triangle?

Question 4

A base of a triangle is 24 cm The height is equal to

of this base Find the area of the triangle?

Question 5

A base of a triangle is 16 cm The height is equal to

of this base Find the area of the triangle?

The area of rectangle ABCD is

(as shown in the figure) Find the area of triangle MCD.

A triangle ABC has AB = 7 cm, BC = 9 cm The

perimeter of a triangle ABC is 24 cm.

The area of a triangle ABC is 24

Find the height BH and AC?

Question 11

The height of a triangle is equal to 1.2 dm and the base is

8 cm What is the area of this triangle?

Question 12

A triangle EFG has the height EH = 6 m corresponding the base FG = 17 m and the height FK corresponding the base EG = 4 m Find the value of EG?

23.5 m

25.5 m

26.5 m

24.5 m

Question 13

The height of a triangle is equal to 6.5 m and the base is

18 m What is the area of this triangle?

Question 16

The height of a triangle is equal to 25 m and the base is

15 m What is the area of this triangle?

Question 17

The area of a triangle is

and the height is equal to 6 m What is the length of the base of this triangle?

A base of a triangle is 14 cm The height is equal to

of this base Find the area of the triangle?

Question 19

The height of a triangle is equal to 24 dm and the base is

5 m What is the area of this triangle?

Question 20

The height AH of a triangle ABC is 7 cm We extend the base BC (toward C) 5.5 cm How much has area of this triangle gone up?

How many triangles are there in the following shape?

A triangle MND has the height MH = 7 cm

corresponding the base ND = 16 cm and MD = 10 cm What is the length of the height NE of the triangle

Question 25

The area of a triangle ABC is 150

We extend the base BC (toward C) 5 cm, the area will increase 30

Find the value of the base BC.

The area of a triangle ABC is

Consider point M on BC such that BM = 2MC What is the area of triangle ABM?

18 m

20 m

19 m

The area of a triangle ABC is

Consider point M on BC such that BM = 2MC What is the area of a triangle ABM?

Question 34

A triangle MND has the height MH = 9 cm

corresponding the base ND = 12 cm and MD = 15 cm What is the length of the height NE of the triangle

MND?

7 cm

What is the area of a triangle ABC?

Question 37

A triangle ABC has the height AH = 10 cm

corresponding the base BC = 12 cm, AB = 15 cm What

is the length of the height CK (

) of the triangle ABC?

The area of triangle GBD is

Find the area of the triangle GCD?

Question 39

The area of a triangle ABC is

Consider point M on BC such that BM = 2MC What is the area of a triangle ABM?

Question 40

The base BC of a triangle ABC is 20 cm We extend the base BC (toward C) 6 cm The area increases by 28.5

59:45

UNIT 9: Trapezoids - Area of a Trapezoid (Hình thang - Diện tích hình thang)

Number of questions:38 Remain time: 59 minutes 43 seconds

Find the area of a trapezoid such that the two bases are 8

m and 75 dm; the height is 32 dm.

Question 3

Find the arithmetic mean of two bases of a trapezoid such that the area of this trapezoid is

A trapezoid has a height of 22 m; a short base is

of the long base and its area is

.

Find the two bases of the trapezoid.

54 m; 16 m

54 m; 26 m

A trapezoid has a long base of 3.4 m; a short base of 2.5

m and its area is

.

Find the height of the trapezoid.

Find the area of a trapezoid such that the two bases are

23 m and 19 m; the height is 9 m.

Question 12

A trapezoid has a height of 45 m; a short base is

of the long base and its area is

Find the two bases of the trapezoid.

Find the area of a trapezoid such that the two bases are

12 cm and 8 cm; the height is 5 cm.

Question 16

A trapezoid has a long base of 0.96 m; a short base of 0.8

m and its area is

Find the area of that field.

Question 18

Find the area of a trapezoid such that the two bases are 5.8 cm and 3.5 cm; the height is 4 cm.

What is the area of the following trapezoid?

Question 20

A trapezoidal field with a long base of 60 m, the short base is

the long base and the height is 30 m Each

produces 30 kg of rice How many kilograms of rice does this field produce?

7865 kg.

6750 kg.

5643 kg.

6875 kg.

Question 21

What is the area?

Question 22

If the area of the rectangle ABCD is

then the area of the trapezoid MNCD is

Question 25

The area of rectangle ABCD is

, EB = 5 m, BC = 10 m Find the area of trapezoid AECD.

Question 26

What is the area?

Question 27

The average of the two bases of a trapezoidal filed is 36

m The area of that field is equal to the area of a square parcel with a perimeter of 96 m

Find the height of that trapezoidal filed.

and the height is 90 cm.

the sum of the length of the short base and the long base Each

produces 124 kg of rice How many kilograms of rice in this field?

Question 33

Find the area of the trapezoid AECD.

Question 34

Find the area of the trapezoid with the long base is 20

cm, the short base is 12 cm and the height is 35 cm.

The area of the trapezoid is

The height of the trapezoid is 14 dm, the short base is the long base Find the length of the long base.

the short base and the height is

the long base

Find the area of the parcel in square meters.

Question 38

Find the area of a trapezoid such that a short base is 22

m , a long base is equal to

a short base and the height is 20 m.

59:43

Diện tích và Chu vi của hình tròn)

Number of questions:38 Remain time: 59 minutes 41 seconds

Find the radius of a circle with circumference C = 279.46 m.

A wheel has a diameter of 0.85 m Find the

circumference of this wheel.

Find the area of a square.

Question 19

A bicycle wheel has a diameter of 0.5 m Find the distance a person cycling this bicycle can travel if the wheel makes 100 revolutions?

A rectangle parcel has a length of 30 m and a width of 20

m There are a circle pond with radius of 10 m in the rectangle parcel.

Find the area of the rest of this rectangle parcel?

Question 23

What is the area of the following circle?

Question 24

of the following circle if the radius of circle is 4 cm.

Question 26

Find the area of the shaded part of the circle such that one edge of a square is 6 cm.

Question 34

Find the area of the following circle.

Question 35

Find the area of

of the following circle if the radius of circle is 2 m.

What is the perimeter of the following circle?

Rectangular Parallelepiped, Cube (Diện tích xung quanh, toàn phần )

Number of questions:40 Remain time: 59 minutes 43 seconds

Question 3

Find the lateral surface area and the total surface area of

a rectangular parallelepiped with a length of 13 cm, a width of 10 cm and a height of 8 cm.

Question 4

Calculate the total surface area of the rectangular

parallelepiped.

Question 7

A gift box in the shape of a rectangular parallelepiped has 10 centimeters length, 7 centimeters width and 8 centimeters height How much the paper will you need to wrap the gift box?

Question 8

A cube of each side 4 cm, has been painted black, red and green on pars of opposite faces It is then cut into small cubes of each side 1 cm.

How many small cubes will be there ?

A cube has _ faces Fill in the blank ?

Question 10

Calculate the lateral surface area and the total surface area of the rectangular parallelepiped with the height of

8 m.

a cube with side length of 2 m and 5 cm.

Question 19

Calculate the total surface area of the rectangular

parallelepiped.

Question 20

Find the lateral surface area and the total surface area of

a cube with side length of 1.5 m.

Question 21

A cubical tank with sides 2.5 m is to be painted It costs 3 dollars per each square face to paint Find the total cost

to paint all the six sides?

How many small cubes will have at least two faces

painted ?

Question 25

A cube of each side 4 cm, has been painted black, red and green on pars of opposite faces It is then cut into small cubes of each side 1 cm.

How many small cubes will have at least one face painted

Find the height of this rectangular parallelepiped.

One 7 x 7 x 7 cube is painted, and then cut it into 1 x 1 x

Question 30

Sum of the lateral surface area and the total surface area

of a cube is

A rectangular parallelepiped classroom has a length of 6

m, a width of 3.6 m and a height of 3.8 m.

They want to paint the ceiling and the four walls of the room Knowing that the area of the doors in total is

, find the area that they need to paint.

Question 32

The side of the base of a box is 25 cm Find the surface area of a box whose faces are square?

Question 33

The lateral surface area of a cube is

Find the total surface area of the cube?

Question 34

The lateral surface area of a cube is

Question 35

Calculate the total surface area of the figure.

Question 36

A rectangular parallelepiped classroom has a length of 6

m, a width of 4.5 m and a height of 4 m.

They want to paint the ceiling and the four walls of the room Knowing that the area of the doors in total is , find the area that they need to paint.

Question 37

A cube of each side 4 cm, has been painted black, red and green on pars of opposite faces It is then cut into small cubes of each side 1 cm.

How many of these cubes are painted?

56

54

Question 38

One 7 x 7 x 7 cube is painted, and then cut it into 1 x 1 x

1 cubes How many of these cubes are painted?

How many small cubes will have only two faces painted

in black and green and all other faces unpainted ?

7

9