b Find the lowest common multiple of 6 and 9 [1]
3 Find the prime factors of 44 _
[1]
4 Using a tree diagram, or otherwise, write 300 as a product of prime factors
Trang 2Use these facts to find the highest common factor of 90 and 250
b Show that 100 is not a cube number [1]
10 Find the possible values of n when
END OF TEST
Trang 3Name _ Date _
Stage 8 End of Unit 2 Test
1 Draw a line to join each description (on the left) to the correct expression (on the right)
a Multiply n by 2 and subtract 3 i 3(n + 2)
b Add 2 and n then multiply by 3 ii 2(n + 3)
c Multiply n by 3 and add 2 iii 2(n − 3)
d Add 3 and n then multiply by 2 iv 2n − 3
e Subtract 2 from n then multiply by 3 v 3n + 2
f Subtract 3 from n then multiply by 2 vi 3(n − 2) [6]
2 Lara thinks of a number x
Write an expression for the number Lara gets when she
a divides the number by 3 then subtracts 2 [1]
b adds 2 to the number then divides by 3 _ [1]
3 Work out the value of each expression
Trang 45 a Rearrange the formula y = mx to make x the subject
[1]
b Use your formula to work out the value of x when y = 4.8 and m = 1.2
[1]
6 Fill in the missing numbers and letters
8 Solve the equation
Trang 59 The diagram shows a square
a Write an equation to represent the problem
10 For the inequality 2− y 4write down
a the smallest integer that y could be _ [1]
b the largest integer that y could be [1]
c a list of the integer values that y could be _ [1]
11 Complete these equivalent inequalities
a x > 5 is equivalent to 4x > _
[TOTAL: 36 Marks]
END OF TEST
Trang 6Name _ Date _
Stage 8 End of Unit 3 Test
1 Work these out
Trang 74 There were 12435 male and 9475 female supporters at a baseball match
How many supporters were there altogether?
Give your answer correct to two significant figures
[2]
5 a Work out an estimate of:
0.35 6791.976
[2]
b On a calculator, work out the accurate value [1]
c Compare your answers to parts a and b
Do you think your accurate answer is correct? _
Explain why _ [1]
6 a On a calculator, work out the answer to 3−
17 329 Write down all the numbers on your calculator display
Trang 8Name _ Date _
Stage 8 End of Unit 4 Test
1 Write these decimal numbers in order of size, starting with the smallest
Trang 98 Use the fact that 124 × 63 = 7812 to write down the answers to these
10 Work out these multiplications
Show how to check your answers using estimation
Trang 1012 a Complete the table below showing the 15 times table
b Jon buys a piece of wood for $12.54
The piece of wood is 1.5 m long
Work out the cost per metre of the wood
[2]
13 Work these out
Use the methods you have learned to make the questions easier
a (0.8 − 0.5) × 0.13 b 0.9 × 45 c 16 × 0.35
_ _ _ _ _ _ _ _ _ _ _ _
d 9.9 × 72 e 2.5 × 63.8 × 4 f 16 × 0.35
_ _ _ _ _ _ _ _ _ _ _ _ [6]
[TOTAL: 37 Marks]
Trang 11b Use the diagram to show that the exterior angle of a triangle is equal to the sum of
the two interior opposite angles
Trang 123
Write down the letters of
4 Work out the sizes of the angles a, b and c
[3]
Trang 135 Use a ruler and compasses for this question Show all your construction lines
a Make an accurate drawing of triangle ABC
Trang 146 Use a ruler, a protractor and compasses for this question Show all your construction
Trang 15Name _ Date _
Stage 8 End of Unit 6 Test
1 Data is collected about new-born babies in hospital Give an example of
a categorical data [1]
b continuous data [1]
c discrete data _ [1]
2 You want to choose a sample of 20 learners from your school year
a Describe three different ways to do this
[3]
b Which of your three methods do you think is the best?
Give one advantage and one disadvantage of your method
Advantage [1]
Disadvantage [1]
3 There are 20 girls and 30 boys in a sports club
You want to interview a representative sample of 10 people
Describe how you will choose your sample
[2]
Trang 164 A tally chart is a common method of collecting data Describe how you could use a tally
5 You want to compare two novels, A and B
You want to test these two conjectures
• The words in A are longer than the words in B
• The sentences in A are longer than the sentences in B
a Describe how you can collect data to test the first conjecture Describe how you will
take a sample from each book Describe how you will record the data
[3]
b Can you collect data to test the second conjecture in the same way? Are there
any differences?
[1]
Trang 176 You want to find out how learners in your school use social media You have chosen a
c Which method would you choose? Give a reason for your choice
[1]
[TOTAL: 20 Marks]
END OF TEST
Trang 18Name _ Date _
Stage 8 End of Unit 7 Revision
1 Use division to convert
5
8 into a decimal
[2]
2 Here are five fraction cards
a Write down which of these fractions are
i terminating decimals _
ii recurring decimals [1]
b Convert all the fractions to decimals
[5]
c Write the fractions in order of size starting with the smallest
A 3/5 B 2/9 C 1/6 D 7/20 E 4/15
Trang 193 Write the correct sign, = or ≠, between each pair of fractions
20 and Carlos scored 71%
Who had the highest score? Show all your working
[3]
6 Work out these subtractions Show all the steps in your working
a 62−2 5
3 12
−
Trang 208 You can use this formula to work out the average speed of a car in kilometres per hour (km/h),
when you know the distance it has travelled and the time it has taken
Work out the average speed of a car that travels 45 km in 35of an hour
Trang 21What fraction of the chocolates in the box have a coffee filling?
Trang 22Name _ Date _
Stage 8 End of Unit 8 TEST
1 a Complete the properties to characterise a regular hexagon
A regular hexagon has
• _ sides the same length
• _ angles the same size
• _ lines of symmetry
b Sketch a regular hexagon Draw on your sketch the lines of symmetry [1]
2 Look at isosceles trapezium, WXYZ
Complete these statements
a WZ is the same length as _
b ZY is parallel to _
c Angle WZY is the same size as angle _
3 Complete this statement Use the name of a shape in the box below
square kite parallelogram rhombus
Trang 234 Work out the circumference of the circle with a diameter of 10 cm Use π = 3.14
[2]
5 Work out the perimeter of this semicircle Use π = 3.142
[2]
6 A circular pond has a circumference of 47 m
Work out the diameter of the pond Use the π button on your calculator
Give your answer correct to 2 significant figures (2 s.f.)
[3]
7 a Complete this table showing the number of faces, edges and vertices of these 3D shapes
faces
Number of vertices
Number of edges
Trang 25Name _ Date _
Stage 8 End of Unit 9 Test
1 For each of these sequences, write down
i the term-to-term rule ii the next two terms
2 The first three terms of a sequence are 6, 12, 30,
a Which of these cards, A, B or C, shows the correct term-to-term rule?
Show how you worked out your answer
3 Work out the first three terms in this sequence
First term is 10, term-to-term rule is subtract
14
C subtract 2 then multiply by 3
Trang 264 This pattern is made from rectangles
a Write down the sequence of the numbers of rectangles [1]
b Write down the term-to-term rule [1]
c Draw the next pattern in the sequence
Position-to-term rule is: term = _ × position number – _ [3]
5 Work out the first three terms and the 10th term of the sequences with the given nth term
Trang 276 Work out an expression for the nth term for each sequence
a 5, 8, 11, 14, _
b 19, 17, 15, 13, _
164
22
11
equation: y =
inverse equation: x =
equation: y =
Trang 289 Draw a line linking each function equation with its inverse equation
Trang 294 The mass of a child increases from 12.0 kg to 16.2 kg
Work out the percentage increase
[2]
5 The population of a town increases from 25 000 to 63 000
Work out the percentage change
[2]
6 a Decrease 4500 by 0.6% _ [1]
b Decrease 680 by 95% _ [1]
Trang 307 This table shows the number of millimetres of rain each month
Work out the percentage change
a from July to August [1]
b from August to September _ [1]
8 a Write 2 metres as a percentage of 80 cm _ [1]
b Write 6 minutes as a percentage of 2 hours _ [1]
9 The value of a car decreases by 15% each year
The value now is $32 000
a Find the value in one year’s time
[2]
b Find the value in two year’s time
[1]
10 The price of a TV is reduced by 40%
After the reduction, the price is $150
Circle the price before the reduction from this list
[TOTAL: 20 Marks]
END OF TEST