THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 9

Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 9

1. Work out 2015 + 329

2. Work out 2015 - 329

3. Work out 2898 × 9

4. Work out 2898 ÷ 6

5. Work out 5/7 of 84

6. Write down the next two numbers in the sequence.

5, 11, 23, 47, ,

7. Write a number in each box to complete the statements.

(a) 16.7 × 1000 =

(b) ÷ 100 = 3.7

8. Which number is one hundred less than three thousand and sixteen?

9. Write the missing sign ( = , < or > ) in the box.

19 × 3 28 × 2

10. The temperature inside Nanook’s igloo is 9 °C and the temperature outside is 12 °C.
How many degrees warmer is it inside than outside?

11. Draw lines from the centre to help you shade 20% of this shape.

12. Sherry’s train to Bristol was scheduled to leave at 13:40 and to arrive at 14:20
However, the train left eight minutes late and then took 47 minutes.
At what time did Sherry arrive?

13. Which number between 60 and 80 is a multiple of both 3 and 8?

14. Lisa thinks of her favourite number.
She multiplies her favourite number by 2, subtracts 3 and gets 19
What is Lisa’s favourite number?

15. (a) Daniel and Bella are playing a game.
When Daniel calls out a number, Bella multiplies it by 3 and then subtracts 5 and
writes down the result.
For example, when Daniel calls out 2, Bella writes down 1
They record the numbers in a table.
Complete the table below.

(b) Claire and Erin play a similar game.
They record their results in the table below.

Work out what Erin does to each number that Claire calls out.

Answer: Erin multiplies by and then adds

16. Cameron has five number cards.

The cards can be placed together to form a number.
For example, using three of his cards Cameron can create the smallest 3-digit multiple
of 3

In the questions that follow, choosing from Cameron’s cards, write numbers on the
blank cards to make:

(a) the smallest possible 3-digit multiple of 6

(b) the largest possible 2-digit prime number

(c) the largest possible 4-digit multiple of 5

17. The information on a pack of ‘Salmon pasta’ is shown in the table.

(a) How many grams of protein are in 100 g of ‘Salmon pasta’?

(b) What percentage of the ‘Salmon pasta’ is carbohydrate?

The mass of the fibre in a pack of ‘Salmon pasta’ is 7 grams.

(c) What is the mass of ‘Salmon pasta’ in the whole pack?

(d) What will be the mass of fat in a pack of ‘Salmon pasta’?

18. Mrs King asked all the children in Year 6 if they play tennis.
This table shows some of the results.

(a) How many children are there in class 6B?

(b) Complete the table.

(c) What fraction of the children who do not play tennis are in class 6B?

Your new question!19. It is known that 425 × 134 = 56950

Use this calculation to work out

(a) 4.25 × 1.34

(b) 56950 ÷ 4.25

(c) 42.5 × 67

20. In a magic square, the sum of the numbers in each row, each column and each diagonal
is the same.

Write numbers in the pale
grey squares to complete this
magic square.

21. Barbara buys a box containing a selection of three types of biscuit.
There are eight chocolate biscuits.
A third of the other biscuits are custard creams.
There are twelve ginger biscuits.

(a) How many custard creams are there?

(b) How many biscuits are in the box?

22. In a box of shapes there are three times as many squares as there are circles.
There are twice as many triangles as squares.
If there are 45 squares, how many shapes are there altogether?

23. Which bus takes the shortest time from Elgin to Inverness and by how many minutes?

24. Janet’s marks on five mental arithmetic tests are:

15 19 13 18 20

What is her mean (average) mark?

25. What number is indicated by the arrow on the scale?

26. A parallelogram has area 12 cm² and all its
vertices (corners) lie on the dots of the
centimetre square dotted grid.

One side of the parallelogram, which is not a
rectangle, is drawn for you.
Complete the drawing of the parallelogram.

27. Which is more likely, rolling a 3 with an unbiased die with six faces, or getting a head
with a fair coin?

28. Reflect the shaded shape in the mirror line.

29. In the long jump competition, children recorded their results in a bar chart:

(a) Daya jumped 1.5m.
Draw the bar to represent Daya’s jump.

(b) By how many centimetres did Anna beat Clara?

30. Penny places 10p coins, touching, in a straight line.
She hopes to make a line of coins that measures 1 km.
A 10p coin has a diameter of 25 mm.

(a) How long, in metres, is a line of forty 10p coins?

(b) What is the total value, in pounds, of forty 10p coins?

(c) How many coins will Penny need for a 1 kilometre line of 10p coins?

(d) What is the total value of a 1 kilometre line of 10p coins?

31. Joanna was born on 19 August 2004 and her mother, Wendy, was born on the same
date 26 years earlier.
(a) What is Joanna’s age, on 1st January, in 2016?

(b) In which year, on 1st January, willWendy’s age be three times Joanna’s age?

32. Six girls took a maths test.

Their marks were 13 18 14 20 7 18

(a) What is the difference between the highest and lowest marks?

Ashleigh’s mark was seven more than Bella’s mark and six less than Connie’s mark.
(b) What was Ashleigh’s mark?

33. Amira checks the time when she sets off on her journey to school in the morning.

(a) Write the time as a 12-hour time.

At twenty minutes to eight, Amira stops to buy an apple from the shop.
(b) Write ‘twenty minutes to eight’ as a 12-hour clock time.

Amira spends five minutes at the shop before walking another twenty-three minutes
to get to school.
(c) At what time does Amira reach school?

34. The diagram below shows information about the girls in Year 6 who play
in the hockey team and/or the netball team.

(a) How many girls are inYear 6?

(b) How many of the girls play in both teams?

(c) What percentage of the girls play in the hockey team but not in the netball team?

(d) What fraction of the girls who play netball also play hockey?

35. The diagram shows two squares. The larger square has
perimeter 16 cm.

What is the area of the smaller, white square?

36. Bertie the Bee flies in straight lines from A, 10 cm to B and then from B to C which
is 10 cm due south of A.

Below is an accurate diagram of Bertie’s route.

(a) On the list below, circle the direction that Bertie flies to get from B to C.

north-east south-west north-west south-east

Bertie then flies from C back to A.

(b) Estimate the total distance that Bertie flies.

37. A matchbox measures 1 cm high, 3cm wide and 5 cm long.

(a) What is the maximum number of matchboxes that could fit, in one layer, onto a
tray that is 20 cm long and 15 cm wide?

(b) What is the maximum number of matchboxes that could be fitted into a box
measuring 18 cm by 25 cm by 10cm?

38. A rhombus has been drawn on the grid below.

The co-ordinates of three points are listed below.

P(5, 3) Q(5, 9) R(4, 4)

Write the letter names of the points that lie inside the rhombus.

39. In order to convert from the imperial units ounces and pounds to the metric unit
kilograms, you should use the following conversions:

16 ounces = 1 pound
2.2 pounds = 1 kg

Newborn tiger cubs weigh about 56 ounces.

Circle the mass in kilograms which gives the best approximation of the mass of a
newborn tiger cub.

0.5 kg 1 kg 1.5 kg 2 kg 2.5 kg 3 kg

40. Here is a pattern made with small equilateral triangles using centimetre dotted
isometric paper.

(a) Complete pattern 4 on the isometric paper below.

(b) Complete the table showing the number of lines, dots and small triangles in each
pattern.

(c) How many small triangles are there in pattern 6?

(d) What is the perimeter of pattern 10?

(e) Which pattern has 45 dots?

41. Two icebergs, A and B, are floating in the ocean.

On 1 January, iceberg A weighs 4 tonnes, but loses 25 kg every day.

1000 kg = 1 tonne

(a) After how many days will iceberg A weigh 3850 kg?

On 1 January, iceberg B weighs 4500 kg and loses 50 kg every day.
(b) After how many days will the two icebergs have the same mass?

42. (a) In the tower of bricks below, the number on a brick is the sum of the numbers on
the two bricks supporting it.

What number is on the top brick?

(b) In the tower of bricks below, the number on a brick is the product of the two
bricks supporting it.

What number is on the top brick?

(c) In the tower of bricks below, the number on a brick is the product of the two bricks
supporting it.
The number on the top brick is 72 and the numbers on the bricks are all different
whole numbers.

What number is on the middle brick in the bottom row?

43. A number machine works to the rule

‘cube each digit and then add the cubes together’.

For example:

input 46 gives output 280, as shown below

4³ + 6³
= 64 + 216
= 280

input 123 gives output 36

1³ + 2³ + 3³
= 1 + 8 + 27
= 36

(a) Work out the output for input 25

(b) What three-digit input would give output 3?

Input 153 gives output 153

(c) Which two numbers between 300 and 400 will also give output 153?

44. Wendy has three spinners A, B and C.

(a) However many times spinner A is spun and the scores are
added, you always get an even total.

Write a different number (choosing from 1 to 9) in each
section of the spinner.

(b) When spinner B is spun, the result is always a prime number.
Write a different number (choosing from 1 to 9) in each
section of the spinner.

(c) When spinner C is spun there is an equal chance of getting a
cube number or a multiple of 3

Write a different number (choosing from 1 to 8) in each
section of the spinner.

(d) If each spinner is spun 100 times and the 100 scores added,
which spinner is likely to score the highest total, and why?

45. A bird has 2 legs, a cat has 4 legs, an insect has 6 legs and a spider has 8 legs.
Claire looks at some animals and counts all their legs.
She counts 38 legs.
There are twice as many birds as spiders and twice as many cats as insects.
How many of each type of animal can she see?

Answer: birds

cats

insects

spiders

46. Tia adds three consecutive prime numbers

5 + 7 + 11 = 23

She does this two more times

7 + 11 + 13 = 31

11 + 13 + 17 = 41

Tia is delighted to see that the sum of three consecutive prime numbers seems to give
another prime number.
(a) Complete the following statements:

(i) 17 + 19 + 23 =

(ii) + + = 71

(iii) + + = 83

The prime numbers between 20 and 140 are:
23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109,
113, 119, 127, 131, 137 and 139

(b) Which two groups of three consecutive prime numbers, between 10 and 50, have
a sum which is not prime?

Answer: + + =

+ + =

THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 9

THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 9

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