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

2344 2334 2044 2034 2300

2. Work out 2015 - 329

1696 1696 1786 2686 2796

3. Work out 2898 × 9

26082 26012 25282 25212 26212

4. Work out 2898 ÷ 6

483 416 400 384 450

5. Work out 5/7 of 84

60 50 30 40 70

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

5, 11, 23, 47, ———— , ————

95191 95143 71,95 95119 59,71

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

(a) 16.7 × 1000 = ————

16700 167000 1670 167 16.7

(b) ———— ÷ 100 = 3.7

370 3700 37 37000 0.37

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

2916 3916 2116 3000 2900

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

19 × 3 ———— 28 × 2

> < = both a&c none of the above

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?

21 degrees 3 degrees 11 degrees 20 degrees 30 degrees

11. 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?

14:35 14:27 14:20 14:00 15:15

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

72 75 64 78 66

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

11 8 9 7 6

14. 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

132 123 231 321 312

(b) the largest possible 2-digit prime number

53 35 42 31 12

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

4325 4235 3245 2345 5234

15. 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’?

10 15 2 9 20

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

15% 10% 5% 2% 20%

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?

350g 250g 150g 450g 300g

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

17.5g 175g 1.75g 0.175g 1750g

16. 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?

25 30 45 20 55

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

\[\frac{3}{5}\] \[\frac{1}{5}\] \[\frac{5}{3}\] \[\frac{1}{3}\] \[\frac{2}{3}\]

Your new question!

17. It is known that 425 × 134 = 56950

Use this calculation to work out

(a) 4.25 × 1.34

5.6950 56.950 0.56950 569.50 0.056950

(b) 56950 ÷ 4.25

13400 1340 1.34 13.4 134000

(c) 42.5 × 67

2847.5 2847 2800.5 2.8475 284.75

18. 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?

6 8 24 16 32

(b) How many biscuits are in the box?

26 20 16 32 28

19. 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?

150 120 100 110 160

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

Q,2mins P,2mins Q,10mins P,15mins Q,20mins

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

15 19 13 18 20

What is her mean (average) mark?

17 13 14 20 15

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

12.15 12.1 12 12.2 12.5

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

Getting a head with fair coin Rolling a 3 with an unbiased die Getting a tail with fair coin both a&b none of the above

24. 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?

1m 2m 1000m 5m 100m

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

£ 4 £ 400 £ 40 £ 4000 £ 0.4

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

40000 4000 400000 400 40

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

£ 4000 £ 40000 £ 400000 £ 400 £ 40

25. 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?

11yrs 10yrs 12yrs 15yrs 20yrs

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

2018 2017 2016 2019 2015

26. 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?

13 6 9 12 8

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

14 13 18 20 7

27. 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.

7:27am 7:40am 7:25am 7:00am 8:27am

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.

7:40am 8:20am 7:20am 7:30am 8:00am

28. 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?

25 15 20 10 12

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

9 4 7 6 5

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

28% 20% 18% 38% 10%

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

\[\frac{3}{5}\] \[\frac{1}{3}\] \[\frac{5}{3}\] \[\frac{1}{5}\] \[\frac{2}{5}\]

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

What is the area of the smaller, white square?

8\[cm^{2}\] 16\[cm^{2}\] 24\[cm^{2}\] 32\[cm^{2}\] 14\[cm^{2}\]

30. 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

south-west north-east north-west south-east none of the above

Bertie then flies from C back to A.

(b) Estimate the total distance that Bertie flies.

34cm 24cm 40cm 30cm 20cm

31. 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?

20 15 10 30 300

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

300 4500 150 30 200

32. 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.

P,R P,Q Q,R Q,P R,P

33. 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

1.5 1 0.5 0.1 2.5

34.(a) How many small triangles are there in pattern 6?

36 30 16 24 27

(b) What is the perimeter of pattern 10?

30cm 60cm 70cm 90cm 80cm

(e) Which pattern has 45 dots?

8th pattern 7th pattern 6th pattern 9th pattern 5th pattern

35. 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?

6 days 10 days 4 days 5 days 8 days

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?

20 days 10 days 15 days 30 days 25 days

36. (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?

20 18 28 32 30

(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?

864 804 704 432 372

(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?

3 4 2 6 8

37. 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

133 21 123 140 155

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

111 121 141 131 991

Input 153 gives output 153

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

315&351 335&353 312&321 330&303 345&354

38. 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

Birds=4,Cats=2,Insects=1,Spides=2 Birds=4,Cats=1,Insects=2,Spides=2 Birds=2,Cats=2,Insects=1,Spides=1 Birds=4,Cats=4,Insects=1,Spides=2 Birds=9,Cats=2,Insects=1,Spides=3

39. 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 = ————

59 40 36 42 49

(ii) ———— + ———— + ———— = 71

19,23,29 20,22,26 15,19,22 18,23,29 19,20,29

(iii) ———— + ———— + ———— = 83

23,29,31 21,29,31 23,30,31 23,29,32 22,29,31

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: ———— + ———— + ———— = ————

———— + ———— + ———— = ————

37+41+43=121,13+17+19=49 27+41+43=111,11+17+19=47 37+31+43=111,13+27+19=57 37+41+49=127,13+11+19=43 31+41+43=115,11+17+19=47

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

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