Question 1

From the numbers in the cloud,

 

write down:

i)       those numbers that 2 will divide into exactly,

 

ii)     those numbers that 10 will divide into exactly,

 

iii)    the number which is double one of the other numbers.

 

 

                                                                                                                           [3]

 

Question 2

 

Write down two different pairs of numbers that multiply together to make 24.

 

                                                                                                                           [2]

 

Question 3

A teacher is organising a trip to Pleasureland. There are 560 pupils going on the trip. The pupils will go by coach.  Each coach can carry 52 pupils.

 

(a)     Work out how many coaches are needed.

 

45% of the pupils are boys.

 

(b)     Work out the number of boys going on the trip.

 

The number of teachers needed on the trip is found by using this formula:

Number of teachers on the trip equals "the number of pupils divided by 25 and

rounded down to the next whole number".

 

(c)     How many teachers are needed on the trip?

 

Do NOT use your calculator for part (d) of this question. Show all your working.

Each pupil pays £14 to go on the trip.

 

(d)     Work out the total amount paid by the pupils.

                                                                                                                                                [10]

 

Question 4

A calculator gives this list of numbers:

                     15     23     40     36     42     39

 

(a)     Write down the two numbers that are multiples of five.                                                    (2 marks)

(b)     Write down the number that has seven as a factor.                                                           (1 mark)

(c)     Write down the number that is a square number.                                                               (1 mark)

(d)     Write down the number that is a prime number.                                                                 (1 mark)

                                                                                                                                                                                [5]

Question 5

 

On the number line mark with an arrow the position of the number.

ii)     -2

                                                                                                                           [2]

Question 6

 

The lowest temperatures recorded in Manchester each night for a week are given

below.

 

7°C, -4°C, 3°C, 1°C, -2°C, 0°C, -1°C

 

(a)     Write down the temperatures in order. Start with the lowest temperature.

 

(b)     Work out the difference between the highest and lowest temperatures.

 

 

                                                                                                                           [4]

Question 7

A school buys a trampoline.

The school is given a discount of  of the price.

         i)       a decimal

         ii)      a percentage                                                                                                                    (2 marks)

 

The price of the trampoline is £3218.

(b)     Work out the price the school actually has to pay.                                                            (3 marks)

 

 

                                                                                                                           [5]

 

Question 8

It takes 6 men 8 days to build a wall.

All the men work at the same rate.

How long would it take 4 men to build a wall the same size?

 

                                                                                                                           [3]

 

 

Question 9

 

Write down the value of

(a)    

 

(b)     the cube of 4

                                                                                                                          [2]

 

Question 10

 

The diagram shows a conversion graph between Pounds (£) and German

Deutschmarks (DM)

 

 

Use the graph to write down how many

i)       Deutschmarks can be exchanged for £10,

 

ii)     Pounds can be exchanged for 14 Deutschmarks.

 [3]

Question 11

Mark drives 30 miles to his friend's house.

The travel graph shows Mark's journey.

 

(a)     How long does the journey take?                                                                                          (1 mark)

Mark stays with his friend for one hour, He then travels home at 30 miles per hour.

(b)     Complete the graph to show this information.                                                                    (3 marks)

 [4]

 

Robin had a holiday job packing cheese.

Each pack of cheese should weigh 500 grams.

Robin had 30 packs of cheese.

Robin checked the weights, in grams, correct to the nearest gram.

These are the results.

 

      512       506       503      506       499

      499       500       504      502       503

      496       497       497      509       506

      499       497       498      507       511

      498       491       496      506       507

      493       496       503      510      50

(b)     On the grid draw a frequency diagram to represent the data.

 

 

 

                                                                                                                           [6]

 

 

 

 

 

 

Question 13

 

Patrick carried out a survey of 45 pupils in Year 11.

He asked how many books they had borrowed from the library in the last month.

These are Patrick's results.

 

 

(a)     Complete the frequency table.

 

 

(b)     Construct a pie chart to show this information.

 

 

(c)     What fraction of the group had borrowed 6, 7 or 8 books?

 

 

                                                                                                                           [9]

 

Question 14

 

Martin bought a packet of mixed flower seeds.

The seeds produce flowers that are Red or Blue or White or Yellow.

The probability of a flower seed producing a flower of a particular colour is:

 

(a)     Write down the most common colour of a flower.                                                              (1 mark)

 

Martin chooses a flower seed at random from the packet.

(b)     i)       Work out the probability that the flower produced will be White.

         ii)      Write down the probability that the flower produced will be Orange. (3 marks)

                                                                                                                                                                                  [4]

 

Question 15

 

Here is a spinner.

The spinner is spun.

 

 

(a)     i)       Which colour is least likely?

         ii)      Give a reason for your answer.                                                                                    (2 marks)

 

(b)     On the probability line, mark with an X the probability that the colour

         will be Red.                                                                                                                                (1 mark)

 

        

 

(c)     Write down the probability that the colour will be Blue.                                                   (1 mark)

 

 

                                                                                                                           [4]

 

Question 16

 

 

 

 

In triangle ABC, AB = AC and angle C = 50°.

(a)     Write down the special name for triangle ABC.                                                                  (1 mark)

(b)     Work out the value of y.                                                                                                         (2 marks)

 

 

                                                                                                                           [3]

 

 

 

Question 17

 

 

In the diagram PQ and RS are straight lines.

(a)     i)       Work out the value of a.

         ii)      Give a reason for your answer.

 

(b)     i)       Work out the value of b.

         ii)      Give a reason for your answer.

 

(c)     i)       Work out the value of c.

         ii)      Give a reason for your answer.

 [6]

 

 

Question 18

Reflect these shapes in the Mirror lines.

 

 

 

                                                                                                                           [4]

 

 

                                                                                                                     Total = 79

Answer Paper