THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8

Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8

1. Work out 2345 + 678

2. Work out 2345 - 678

3. Work out 3024 × 8

4. Work out 3024 ÷ 9

5. A third of a certain number is 27
What is the number?

6. (a) Which number is 100 times larger than 0.405?

(b) Which number is 1000 times smaller than 700?

7. Work out the sum of the numbers below:

0.7 0.04 1.006

8. Write a number in the box to complete the number sequence below:

94 80 73 66

9. Circle the number in the list below that is closest to ½

1/5 3/7 5/9 7/11

10. Write these numbers in order of size, starting with the smallest:

3.4 3.34 3.304 3.043

11. (a) Shade 40% of the shape below.

(b) What fraction of the large square below is shaded?

12. Write the missing numbers in the boxes to make the calculations correct.

(a) 17 + = 23 × 2

(b) 9 + (5 × 7) = 47 -

(c) × 16 = 36 ÷ 9

13. Wombley Arena can seat 7490 supporters when full.

(a) Write this number to the nearest thousand.

Bale Arena can seat 630 more supporters than Wombley Arena.
(b) How many supporters can both arenas seat altogether?

14. Lara and Cathy have each thought of a positive whole number less than 20
The product of their numbers is 56 and the difference between them is 10
What are their two numbers?

15. (a) Amy has the two-stage number machine shown below.

Complete the table of input and output numbers for Amy’s machine.

(b) Hannah has a different number machine which has produced the following table
of input and output numbers.

Unfortunately the labels have fallen off Hannah’s machine.
Write suitable labels on the diagram below.

16. Katy is going to the cinema to see a film that starts at 3.25 pm and lasts 108 minutes.
At what time will the film end?
Write your answer using the 24-hour clock.

17. A shop sells coffee from Ethiopia.
The prices for coffee beans and ground coffee are shown below.

How much more does it cost to buy 250g of ground coffee than 250g of coffee beans?

18. Sandy needs 12 pizzas to feed 30 people.
How many pizzas will she need to feed 35 people?

19. Belinda ate 3/5 of a bar of chocolate.

60 grams of chocolate remained.
What was the original mass of the chocolate bar?

20. Agnes is thinking of a number which is
• one more than a multiple of 5
• one less than a prime number
• a multiple of 9
• less than 90
What number is Agnes thinking of ?

21. Callum buys a new laptop costing £572.50

He makes an initial payment of £136, and then pays the remainder
in 6 equal monthly amounts.

22. Given that 900 ÷ 12 = 75, work out

(a) 90 ÷ 12

(b) 900 ÷ 24

(c) 12 × 74

(d) 75 × 36

23. Draw all of the lines of symmetry on each shape below.

24. This scale shows the mass of a letter.
The numbers around the outside are in grams (g), and the numbers inside the circle
represent ounces (oz).

(a) What is the mass of the letter in grams?

(b) A parcel has a mass of 120 g.
What is its mass in ounces?

25. Jessica was born on 5 January 2003 and her friend Amelia was born exactly 9 days
earlier.

(a) On which date was Amelia born?

Jessica’s 12th birthday was on a Monday.

(b) On what day of the week was Amelia’s 12th birthday?

26. On the centimetre square grid below, draw a hexagon with area 12 cm².

27. Below is part of a train timetable:

(a) Use the information below to complete the timetable.
• Each train stops at all of the stations shown.
• Train 1 takes 57 minutes to get from Spongeton to Squareford.
• Each train takes the same amount of time to travel from Bobville to Pantsbridge.
• Train 2 takes twice as long to travel from Bobville to Squareford as from
Spongeton to Bobville.

(b) Which of these trains takes the longest to travel from Spongeton to Pantsbridge?

28. Point K is plotted on the coordinate grid below.

(a) Write down the coordinates of point K.

(b) Reflect point K in the dashed line m.
Label this point L.

(c) Join point K to point L with a straight line.
Reflect this line in the dashed line p.

29. A cube has 6 faces, 12 edges and 8 vertices.

The shape below has been made by joining two square-based pyramids to a cube.

Complete the table to show the number of faces, edges
and vertices of the shape shown.

Faces edges vertices

30. Di rolls three dice and adds the numbers showing on the top faces. She repeats this 240
times, and draws a bar chart of her results, which is shown below.

(a) Which two totals occur most often?

(b) How many times did Di roll a square number?

(c) Di and Ed make up two games, based on Di’s results.
Tick the relevant box in the table below to say who is most likely to win, or
whether there is an equal chance.

31. This clock has been reflected in a mirror.
What is the actual time on the clock?

32. In the diagrams below, the perimeter of the square is equal to the perimeter of the
isosceles triangle.

Work out the length of the side marked d.

33. (a) Six members of the Clark family have the following shoe sizes:

9 1½ 5 1½ 3 4

For the Clark family, work out
(i) the median shoe size

(ii) the mean shoe size

(b) Jane has recorded the shoe size of every girl in her class.
Her results are shown in the table below.

Jane says “The mode is 12”.
Annabel says “The mode is 4”.

Who is correct? Give a reason for your answer.

34. In a quiz with 20 questions, contestants are awarded 3 points for a correct answer, but
lose 2 points for each wrong answer.
Complete the table for the contestants below.
The first one has already been done for you.

35. The shape below is made from two overlapping rectangles.
One rectangle measures 5 cm by 4 cm.
The other measures 8 cm by 6 cm.

Given that the area of the section shaded black is 15 cm2, work out the area of the
section shaded grey.

36. At the market, pineapples cost £1.40 each and mangoes cost 80 pence each.

(a) Maddie spent the same amount on pineapples as she did on mangoes.
Given that she bought at least one of each fruit, what is the smallest amount she
could have spent?

(b) Belinda spends £9 altogether on pineapples and mangoes.
How many mangoes does she buy?

37. The diagram below is made from a number of equilateral triangles.
How many equilateral triangles (of any size) can be found in the diagram?

38. The six cards below each have one number on the other side.
The numbers, in order of increasing size, are:

2 5 6 10 12 23

Use the clues below to work out which number is on which card.

a × b = c
b + c = d
d ÷ b = e

Answer: a = b = c =

d = e = f =

39. This cube has been formed by joining together small cubes.
Some of the small cubes touch other cubes on exactly 3 faces,
some touch on exactly 4 faces, some touch on exactly 5 faces,
and some touch on all 6 faces.

(a) For this cube, how many of the small cubes touch
other cubes on exactly 4 faces?

Billy makes a larger cube using small cubes.
54 of the small cubes touch other cubes on exactly 5 of their faces.

(b) How many of the small cubes only touch other cubes on 3 of their faces?

(c) How many small cubes are there altogether in Billy’s larger cube?

40. Nicole likes palindromic numbers.
Palindromic numbers read the same backwards as forwards, for example:

44 323 1221 1234321 and so on.

(a) 11, 22, 33, 44, 55 are all palindromic.

What is the smallest multiple of 11 that is not palindromic?

(b) What is the smallest number larger than 1000 that is palindromic?

(c) Which two palindromic numbers less than 1000 have a difference of only 2?

The palindromic number 131 has a digit sum of 5 (since 1 + 3 + 1 = 5).
(d) What is the only other palindromic number less than 1000 which has a digit sum
of 5?

(e) List all of the palindromic numbers between 1000 and a million which have a
digit sum of 5

41. The diagram below shows 7 train stations, labelled A to G, and the times, in minutes,
taken to travel between stations.

(a) Assuming that no time is added to the journey when a train passes through a
station, work out the route that takes the shortest time to travel from A to G.
You should list the stations in order.
Your route does not need to pass through every station.

In reality, passing through a station adds 4 minutes to the overall journey time.

(b) Using this information, work out the shortest time taken to travel by train from
A to G.

Your route does not need to pass through every station.

THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8

THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 2 (2008-2016) Paper 8

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