North London Collegiate 11 Plus Group 2 Maths 2014 Online Quiz

Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 7

1. Work out 345 + 6789

7134 7124 7034 6134 6024

2. Work out 3201 - 456

2745 2755 2845 3745 2855

3. Work out 865 × 7

6025 5655 5625 6060 6550

4. Work out 3832 ÷ 8

479 49.25 485 470 545

5. 11 and 12 are consecutive whole numbers.
Write down two consecutive whole numbers which add up to 75

37&38 36&39 25&50 45&30 34&41

6. Which number divided by 1000 gives 2.08?

2080 208 20.8 20800 2008

7. Circle the number which will be in the middle when the numbers below are written
in order of increasing size.

3.64 3.564 3.654 3.465 3.546

3.564 3.465 3.64 3.546 3.654

8. (a) Work out one fifth of 180

36 30 45 60 25

8.(b) Work out 5/8 of 96

60 55 36 50 65

9. Work out the sum of the numbers:

0.04 0.6 0.16

0.8 0.26 0.7 0.08 none of the above

10. Farmer Andrew’s chickens lay a total of 314 eggs.
Each egg box holds only 6 eggs.
How many egg boxes will Farmer Andrew be able to completely fill with these eggs?

52 53 55 50 56

11. Write a number in each box in order to make the calculations correct.

(a) 3 × 6 + ———— = 25

7 43 16 13 15

11.(b) 88 ÷ 4 = ———— - 9

31 21 41 30 35

11.(c) 7² = 51 - ( ———— × 4 )

\[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{1}{4}\] 2 4

12. The thermometers below show the temperatures, in °C, inside a fridge and a freezer.

(a) How many degrees warmer is it in the fridge than in the freezer?

18 degrees 17 degrees -10 degrees 15 degrees -9 degrees

The temperature in the freezer should be 3 degrees colder.
(b) What temperature should it be in the freezer?

-17 17 -11 16 18

13. Given that 7.84 × 6 = 46.8,

work out the value of 7.84 × 18

140.4 138.4 140 120.4 110

14. The composer Johann Sebastian Bach lived for 65 years and 4 months.
The composer Georg Philipp Telemann lived for 86 years and 3 months.
For how much longer did Telemann live than Bach?

20 years,11 months 30 years,11 months 20 years,8 months 15 years,11 months 20 years,10 months

15. A recipe to make 12 blueberry muffins requires 300 grams of flour and 180 grams of
blueberries, in addition to other ingredients.

(a) Charlotte wants to make just 9 muffins.
How many grams of each of the following ingredients will she need?

(i) flour

225g 210g 215g 200g 125g

a.(ii) blueberries

135g 125g 150g 215g 175g

(b) Paul has a one kilogram bag of flour. If he uses the whole kilogram of flour to
make blueberry muffins, how many can he make?

40 35 20 15 25

16. (a) The number machine below changes numbers according to the rule

multiply by 3, then add 6

Complete the input and output numbers for the machine.

126, 16 120, 16 126, 20 130, 16 360, 20

(b) There are two possible function machines which will give results shown below.
Work out both possible answers.

x4 then -12 OR -3 then x4 x3 then -12 OR -2 then x4 x4 then -10 OR -3 then +4 x2 then -12 OR +3 then x4 x4 then +12 OR -4 then x2

17. The number 8 has four factors: 1, 2, 4 and 8

(a) Which is the first number greater than 10 to have exactly four factors?

14 12 11 16 18

(b) Write down any number less than 20 which has exactly three factors.

9 or 4 8 10 16 12

(c) Some numbers have only two factors.

What is the special name given to this type of number?
It may help you to write down some numbers with only two factors.

Prime numbers Even numbers Odd numbers Whole numbers Natural numbers

18. (a) A packet of 9 chocolate cookies costs £2.61
What is the cost of 4 of these chocolate cookies?

£ 1.16 £ 0.93 £ 11.6 £ 1 £ 1.2

(b) Carla bought 2 books from a shop, and paid a total of £8.50
One book cost 60 pence more than the other.
What was the price of the cheaper book?

£ 3.95 £ 395 £ 4.55 £ 3 £ 2.85

19. The number sequences in this question all go up or down by a fixed number.

(a) Write a number in each box to continue the sequence.

(i) 5.4, 5.8, 6.2, 6.6, ———¯

7 7.5 6.8 7.4 7.6

a.(ii) 1.3, 1.23, ————

1.16 1.14 1.5 1 1.2

(b) In a number sequence, the 2nd term is 6 and the 5th term is 18, as shown below.

What is the 7th term in the sequence?

———— , 6, ———— , ———— , 18, ———— , ————

26 23 24 25 28

20. Mr Cooper’s car uses 3 litres of petrol to travel 50 kilometres.
Petrol costs £1.45 per litre.

How much will Mr Cooper spend on petrol to drive 600 kilometres from Oxford to
Glasgow?

£ 52.2 £ 52.9 £ 49.2 £ 49.9 £ 52

21. (a) Estimate, in centimetres, the length of the line below.

10cm 9cm 8cm 12cm 15cm

(b) The man in the diagram is 1.8 metres tall.
Use this fact to estimate the height of the tree.

5.4m 3.4m 5m 2.4m 5.6m

22. Shapes A, B, C and D are drawn on the grid below.

Which shape has the largest area?

A B C D A&D

23. (a) This is what Evie sees when she
glances at her clock in the mirror.
Write the time her clock actually
shows, using the 12-hour clock.

1:41pm 2:41pm 3:41pm 1:14pm 2:14pm

(b) A film lasting 2 hours and 20 minutes started at 16:55
At what time did it finish?

19:15 18:20 18:55 19:20 18:15

(c) Three friends started a sponsored silence at exactly 15:00 and, one by one, burst
out in giggles at the times shown in the table below.

(i) For how much longer did Rebecca remain silent than Holly?

39 mins 49 mins 43 mins 40 mins 35 mins

c.(ii) If each girl was sponsored 10 pence for each minute that she remained silent,
how much money did the three girls raise in total?

£ 30 £ 3000 £ 300 £ 3 £ 280

24. Ben asked people about their favourite type of cheese.
The results of his survey are shown below.

(a) What percentage of the people said Edam?

0.25 0.2 0.1 0.15 0.3

(b) What fraction of the people said Brie?

\[\frac{1}{12}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{12}{13}\] \[\frac{1}{5}\]

18 people said Edam.

(c) How many people said Goat’s Cheese?

6 5 7 4 3

(d) How many more people said Cheddar than said Cheshire?

30 20 26 32 16

25. This object is made from cubes.
There are no hidden cubes.

(a) How many cubes are needed to make the object?

18 16 14 12 15

(b) The diagrams below show possible front and side views of the object.

Write the letter of the diagram which shows the

Answer: front view ———— side view ————

front view=B, side view=C front view=A, side view=C front view=B, side view=D front view=D, side view=C front view=A, side view=B

26. Chocolate Heaven sells 10 different types of hand-made chocolates.
The price of each type of dark chocolate is shown in the table below.

(a) What is the total cost of the 5 dark chocolates?

£ 1.45 £ 145 £ 1.15 £ 1.35 £ 1.05

(b) What is the mean (average) cost of a dark chocolate?

29 p 20 p 30 p 25 p 15 p

For each type of chocolate, there is a milk chocolate version which costs 2p less than
the dark chocolate version.

(c) Write down the mean cost of a milk chocolate.

27 p 25 p 24 p 26 p 29 p

(d) Jill buys one of each type of dark chocolate and each type of milk chocolate as a
gift for her friend.
Using your answer to part (a) or otherwise, work out the cost of all 10 chocolates.

£ 2.80 £ 280 £ 2.70 £ 2.50 £ 2

27. Points A, B and C have been plotted on the coordinate grid below.

(a) When a straight line is drawn from A to B, the midpoint is point D.
Write down the coordinates of point D.

(4,7) (2,7) (4,6) (3,7) (4,8)

(b) The point E is such that if a line is drawn from B to E, point C is two thirds of the
way from B to E.

Write down the coordinates of point E.

(10,2) (10,1) (2,10) (10,3) (9,2)

28.Field crickets chirp according to the temperature of their surroundings.
You can use the following rule to work out the temperature:

(a) Freddie, the field cricket, chirps 61 times per minute.
Work out the temperature of Freddie’s surroundings.

13 10 16 18 12

(b) Flora, the field cricket, chirps 41 times in 30 seconds.
Work out the temperature of Flora’s surroundings.

16 2.47 13 10.14 12

(c) The temperature of Flossie’s surroundings is 18°C.
Work out how many times Flossie chirps in 1 minute.

96 156 100 41.14 none of the above

29. Between 3 a.m. and 6 a.m. the hour hand
on a clock moves through an angle of 90°.

Work out the angle which the hour hand on a clock moves
through between

(a) 9 a.m. and 10 a.m.

30 15 45 60 90

(b) 12:45 and 13:15

15 30 12 18 10

(c) 6.30 p.m. and 8.50 p.m.

70 60 50 80 90

30. Jane bought a packet of sweets.
A quarter of them were green, a third of them were red and the rest were yellow.
There were 10 yellow sweets.
What was the total number of sweets in the packet?

24 70 19.4 20 30

31.In the balancing puzzle below, each symbol represents a different number.
In all of the diagrams, the symbols on either side of the scale are balanced.

5 4 6 3 8

32. In a doctor’s waiting room, there are
6 seats in a row.
Mr Spencer arrives with his 2 children.
He wants to sit between his 2 children.

3 other people arrive who do not mind
where they sit.

How many different possible seating arrangements are there of the 6 people?
You may find the boxes helpful.

48 24 26 36 40

33. (a) The shape below is made from squares.

The perimeter of the shape is 100 centimetres.
Work out the area of the shape.

250\[cm^{2}\] 200\[cm^{2}\] 150\[cm^{2}\] 300\[cm^{2}\] 250cm

(b) Work out the area of the shape drawn on the centimetre-squared grid below.

8\[cm^{2}\] 12\[cm^{2}\] 16\[cm^{2}\] 14\[cm^{2}\] 18\[cm^{2}\]

34. The time in Sri Lanka is 4 hours ahead of London.
For example, when it is 3 p.m. in London, it is 7.30 p.m. in Sri Lanka.

(a) What time is it in London when it is 1.15 p.m. in Sri Lanka?

8:45am 9:15am 8:30am 7:45am 7:15am

34.The time in New York is 5 hours behind the time in London.
Bill’s journey from New York to Sri Lanka takes exactly 30 hours.
Bill leaves New York on Wednesday at 19:40

(b) On which day and at what time does Bill arrive in Sri Lanka?

on Friday at 11:10 on Saturday at 11:10 on Friday at 10:40 on Friday at 9:30 on Thursday at 11:10

35. Each letter in the words below represents a number less than 10
The values of the letters in each word are then multiplied together to give the result
shown.

Given that

BAT = 90, LET = 168 and BET = 105,

what is the value of TABLE?

5040 5000 5054 4568 4050

36. On a game show, there are 3 doors.
Behind one door, there is £1000 and behind another, there is a spider!
Behind the other door there is nothing.
Each door has a notice. However, only one notice is true.

Behind which door is £1000?

Door 3 Door 2 Door 1 both a&b none of the above

North London Collegiate 11 Plus Group 2 Maths 2014 Online Quiz

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