Questions 1-25 each carry 2 marks

1.  98+198+298+398+ 498

2. 600000−375072

3.

4. What is the whole number remainder when 123456789 is divided by 11?

5. Which of the following is not divisible by 9?

6. When using Vertically and crosswise to calculate 642 x 384, what is the result of the third step
     before any carry digits have been added?

7. One of the following shows the correct working for 329 × 989 using Nikhilam multiplication. Which
     one?

8. Work out,

9. The devinculated form of 62 is 58. What is the devinculated form of 7321403 ?

11. 2022²

12. What is the Highest Common Factor of 432 and 576?

13. What is the Lowest Common Multiple of 432 and 576?

14. What is the largest prime number less than 20 multiplied by the smallest prime more than 20?

15. What is the mean (average) of 8283, 8294, 8279, 8276 and 8288?

16.83% of $25.00

17.Using Nikhilam division for 24219 ÷ 897, some workings are shown below. What are the three
    missing digits for A, B and C?

18. Which is the correct digital root check for 4526 × 3724 =16854824 ?

19. 0.000125²

20.Given that 3 x 37 = 111, what is the remainder when 222 222 222 237 is divided by 37?

21. 8 kg of flour costs $28. What is the cost of 5.2 kg of the same flour?

22.The first five terms of a sequence are, 2, 9, 16, 23, 30,…

      What is the 125th term in the sequence?

23.Given that a =12 and b = −3 , find the value of, 2(a+3) − (2b − a)

24. Expand and simplify,

x(x +2y) − y(2x − y)

 25.Simplify,

8c²d × (4cd)²

Questions 26 – 35 each carry 3 marks

26. What is a half of a third, plus and third of a quarter, minus a quarter of a fifth?

28. A cyclist sets out on a long uphill ride and travels at a constant speed. At 1pm he is one third of the

way up the hill and at 3pm he is three quarters of the way up. What time did he set out?

29. A factory makes 58352 grams of honey and pours equal amounts of the honey into 112 jars.
     Which of the following could be the number of grams of honey left over?

30. The diagram consists of three different
rectangles with angles as shown. Each one touches two others.

What is the size of angle x?

31.Each edge of an equilateral triangle is 6 cm and
each edge of a regular hexagon is 3 cm long.

What is the ratio of the area of the triangle to
the area of the hexagon?

32. On the circle of nine points each number is
joined to every other number with a line.
The two numbers on the end of each line are
mutliplied. How many answers will be even?

33.  Suki and Sharifa each have a collection of pressed flowers. Suki has 5 times as many as Sharifa. Suki
        has 84 more pressed flowers than Sharifa. She will share so that each have the same number.
        How many will each then have?

34.How many rectangles of all types are in this grid?

35.Solve the equation to find the value of x.

Questions 36 – 40 each carry 4 marks

36. A rectangle is divided into two rectangles
with areas as shown. The length of the whole
rectangle is 89 cm.

        What is the length marked x?

37. Last year the cost of gas in the UK was 7p per KWh. This year the price increased by 111%. Next
       year, the cost is expected to rise by 100%.
       What is the expected cost per KWh next year?

38.  A large rectangular piece of paper measures 48 cm by 80 cm. It gets cut in half. One half piece is
        taken and cut in half to produce a quarter. One quarter piece is cut in half. This process is continued
        until there are seven cuts in total. What is the area of the smallest piece?

39. The unshaded region inside this regular hexagon
is divided into equilateral triangles. What
fraction of the whole hexagon is shaded?

40. A logo is made using five circles as shown. Each circle has a radius of 3 cm. Using the value of π as
22/7, what is the outer perimiter of the logo?