Attempt All Questions and Show All Working

Non-calculatorSet ……..Staff ………….

Attempt all questions and show all working

Use of calculators is not permitted Time 1hour

(a) Subtract 435 from 873 (b) Multiply together 852 by 6

In the following, diagrams are not drawn accurately, calculate the size of the angles marked with letters.

(i)(ii)

(iii) (iv)

Name each of the following special shapes.

Answer = ………………………. Answer = ………………………. Answer = ……………………….

Simplify each of the following

(a) ………………

(b) ………………..

(c)………………………

(d)……………………….

Solve each of the equations which follow, showing each step:

(a)(c) (e)

…………….. …………….. ……………..

………… ………… …………

(b) (d) (f)

…………….. …………….. ……………..

………… ………… …………

(a) Describe fully how to transform the shaded shape onto shape A

(b) Draw an enlargement of triangle ABC with centre 0 and scale factor 3. Label the image

A’B’C’.

(c)Draw an image of the shaded shape reflected in the line

Remove the brackets and simplify where possible.

(a)Answer = …………………………..

(b)Answer = …………………………..

(c)Answer = …………………………..

The arrow by this thermometer shows a temperature of 20C

(a)Draw an arrow by the thermometer to show 7C

Label your arrow 7C

(b)Draw an arrow by the thermometer to show –5C

Label your arrow –5C

(c)In New York the temperature was –2C

In Atlanta the temperature was 7C warmer.

What was the temperature in Atlanta?

Answer = ……………C

(d)In Amsterdam the temperature was 3C.

In Helsinki the temperature was –8C

How many degrees warmer was it in Amsterdam than in Helsinki?

Answer = ……………C

Solve the equations simultaneously by first adding the equations to find x, and then using the first equation to find y.

Answers x =…………

y = ………..

The diagram shows a box.

Complete the net for the box.

Mark and Kate each buy a family pack of crisps.

Each family pack contains ten bags of crisps.

The table shows how many bags of each flavour are in each family pack.

Flavour / Number of bags
Plain / 5
Vinegar / 2
Chicken / 2
Cheese / 1

(a)Mark is going to take a bag at random from his family pack.

Complete these sentences.

The probability that the flavour will be ………………………is .

The probability that the flavour will be cheese is ……………………..

(b)Kate ate two bags of plain crisps from her family pack of 10 bags.

Now she is going to take a bag at random from the bags that are left.

What is the probability that the flavour will be cheese?

…………………

(c)A shop sells 12 bags of crisps in a large pack.

I am going to take a bag at random from the large pack.

The table below shows the probability of getting each flavour.

Use the probabilities to work out how many bags of each flavour are in this large pack.

Flavour

/ Probability / Number of bags

(a) What fraction of this shape is shaded?

Write your fraction as simply as possible.

(b) What percentage of this shape is shaded?

(d)(i) Which shape has the greater percentage shaded?

Tick () the correct box Shape A Shape B Both the same

(ii) Explain how you know.

Here is a plan of a ferry crossing.

(a)Complete the accurate scale drawing of the ferry crossing below.

(b) Measure the length of the ferry crossing on your diagram?

(b)The scale is 1 cm to 20 m. Work out the length of the real ferry crossing.

Show your working, and write the units with your answer.

14. (a) Tick () any shapes below that have an area of 12 cm2.

(b)A square has an area of 100 cm2.

What is its perimeter?

Show your working.

15. A teacher has 5 full packets of mints and 6 single mints.

The number of mints inside each packet is the same.

The teacher tells the class:

“ Write an expression to show how many mints there are altogether. Call the number of mints inside each packet y.

Here are some of the expressions that pupils write:

5 + 6 + y 5y6 5y + 6 6 + 5y 5 + 6y (5+6) x y

(a) Write down TWO expressions that are correct.

………………………………….and………………………………….

(b) A pupil says ‘I think the teacher has a total of 56 mints’

Could the pupil be correct? Tick () Yes or No.

Explain how you know.

16. (a) If a = 3, b = 2 and c = 6.Evaluate the following expressions:

(i)ab = ………………………… = ……………

(ii) 2a = …………………………. = ……………

(b) Join pairs of algebraic expressions that have the same value.

17.

The two spinners above are spun and the scores ADDED together.

(a) Complete the table below for the sum of both

scores.

18. In these walls each brick is made by ADDING the TWO bricks underneath it.

(a) Write an expression for the top brick in this wall. Write your expression as simply as possible.

(b) Fill in the missing expressions on these walls. Write your expressions as simply as possible.

19. The pie chart shows how 18 people travelled to an office in one morning.

(a)Find the missing WALK angle from the pie chart.

ANSWER ……………………

(b)How many people travelled by bus?

ANSWER …………………..

20. Write down ALL of the possible solutions for each of inequalities from the following list of

whole numbers.

– 5, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Example x> 6…………………………..

(a) x 7 ………………………………..

(b) y –2 ………………………………..

(d) –1 m 3………………………………..