- There are 40 multiple choice questions in the challenge, each with 5 possible answers.
- Questions 1 – 25 each carry 2 marks, Questions 26 – 35 each carry 3 marks, and Questions 36 – 40 each carry 4 marks.
- The challenge is one hour long.
- Once you click on “Start” a clock will countdown and at the end of one hour your answers will be automatically saved and submitted.
- You can end the test before that by clicking on “Submit Test” on the final question.
- The grid of squares at the top will show you which questions you have answered.
- You can skip a question and come back to it later or revisit any question you have already answered by clicking on any question number in the grid.
- You will need paper for rough workings.
- You must not use a calculator or any other electronic device.
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Question 1 of 40
1. Question
2 point(s)Questions 1-25 each carry 2 marks
1. 98+198+298+398+ 498
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Question 2 of 40
2. Question
2 point(s)2. 600000−375072
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Question 3 of 40
3. Question
2 point(s)3.
4 + 3 15 11 -
Question 4 of 40
4. Question
2 point(s)4. What is the whole number remainder when 123456789 is divided by 11?
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Question 5 of 40
5. Question
2 point(s)5. Which of the following is not divisible by 9?
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Question 6 of 40
6. Question
2 point(s)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? -
Question 7 of 40
7. Question
2 point(s)7. One of the following shows the correct working for 329 × 989 using Nikhilam multiplication. Which
one? -
Question 8 of 40
8. Question
2 point(s)8. Work out,
12345 1+2+3+4+5 -
Question 9 of 40
9. Question
2 point(s)9. The devinculated form of 62 is 58. What is the devinculated form of 7321403 ?
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Question 10 of 40
10. Question
2 point(s)10. Convert the fraction, 81 , into a decimal. 750 -
Question 11 of 40
11. Question
2 point(s)11. 2022²
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Question 12 of 40
12. Question
2 point(s)12. What is the Highest Common Factor of 432 and 576?
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Question 13 of 40
13. Question
2 point(s)13. What is the Lowest Common Multiple of 432 and 576?
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Question 14 of 40
14. Question
2 point(s)14. What is the largest prime number less than 20 multiplied by the smallest prime more than 20?
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Question 15 of 40
15. Question
2 point(s)15. What is the mean (average) of 8283, 8294, 8279, 8276 and 8288?
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Question 16 of 40
16. Question
2 point(s)16.83% of $25.00
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Question 17 of 40
17. Question
2 point(s)17.Using Nikhilam division for 24219 ÷ 897, some workings are shown below. What are the three
missing digits for A, B and C? -
Question 18 of 40
18. Question
2 point(s)18. Which is the correct digital root check for 4526 × 3724 =16854824 ?
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Question 19 of 40
19. Question
2 point(s)19. 0.000125²
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Question 20 of 40
20. Question
2 point(s)20.Given that 3 x 37 = 111, what is the remainder when 222 222 222 237 is divided by 37?
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Question 21 of 40
21. Question
2 point(s)21. 8 kg of flour costs $28. What is the cost of 5.2 kg of the same flour?
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Question 22 of 40
22. Question
2 point(s)22.The first five terms of a sequence are, 2, 9, 16, 23, 30,…
What is the 125th term in the sequence?
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Question 23 of 40
23. Question
2 point(s)23.Given that a =12 and b = −3 , find the value of, 2(a+3) − (2b − a)
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Question 24 of 40
24. Question
2 point(s)24. Expand and simplify,
x(x +2y) − y(2x − y)
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Question 25 of 40
25. Question
2 point(s)25.Simplify,
8c²d × (4cd)²
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Question 26 of 40
26. Question
3 point(s)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?
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Question 27 of 40
27. Question
3 point(s)27. Three boys ran a race. Arjuna took 1 2 hours. Bhishma took 95 minutes and Nakula took 1.6 hours. 3 What was their mean time in hours and minutes? -
Question 28 of 40
28. Question
3 point(s)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?
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Question 29 of 40
29. Question
3 point(s)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? -
Question 30 of 40
30. Question
3 point(s)30. The diagram consists of three different
rectangles with angles as shown. Each one touches two others.What is the size of angle x?
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Question 31 of 40
31. Question
3 point(s)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? -
Question 32 of 40
32. Question
3 point(s)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? -
Question 33 of 40
33. Question
3 point(s)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? -
Question 34 of 40
34. Question
3 point(s)34.How many rectangles of all types are in this grid?
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Question 35 of 40
35. Question
3 point(s)35.Solve the equation to find the value of x.
7x – x – 1 = -1 2 8
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Question 36 of 40
36. Question
4 point(s)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?
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Question 37 of 40
37. Question
4 point(s)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? -
Question 38 of 40
38. Question
4 point(s)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? -
Question 39 of 40
39. Question
4 point(s)39. The unshaded region inside this regular hexagon
is divided into equilateral triangles. What
fraction of the whole hexagon is shaded? -
Question 40 of 40
40. Question
4 point(s)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?