- 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. 10.01 − 1.1
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Question 2 of 40
2. Question
2 point(s)2. Which of the following is not divisible by 9?
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Question 3 of 40
3. Question
2 point(s)3. When using Vertically and crosswise to calculate 367 × 482 , what is the result of the third step
before any carry digits are included? -
Question 4 of 40
4. Question
2 point(s)4. Given that 3× 37 =111 , calculate 999999÷37 .
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Question 5 of 40
5. Question
2 point(s)5. What is the square root of 5625?
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Question 6 of 40
6. Question
2 point(s)6. One of the following shows the correct working for 329 × 989 using Nikhilam multiplication. Which
one? -
Question 7 of 40
7. Question
2 point(s)7. The devinculated form of 62 is 58. What is the devinculated form of 7321403 ?
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Question 8 of 40
8. Question
2 point(s)8. 83% of $25.00
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Question 9 of 40
9. Question
2 point(s)9. Using Nikhilam division for 24219 ÷ 897, some workings are shown below. What are the three
missing digits for A, B and C?
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Question 10 of 40
10. Question
2 point(s)10. 0.000125²
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Question 11 of 40
11. Question
2 point(s)11. What are the final three digits of the answer to 9999997²?
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Question 12 of 40
12. Question
2 point(s)12. Which fraction is the largest?
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Question 13 of 40
13. Question
2 point(s)13. What is the whole number remainder for 57499 ÷ 312 ?
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Question 14 of 40
14. Question
2 point(s)14. 49³
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Question 15 of 40
15. Question
2 point(s)15. 12 has six factors, 1, 2, 3, 4, 6 and 12.
How many factors does 360 have?
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Question 16 of 40
16. Question
2 point(s)16. x and y are two quantities. Rishi calculates that 80% of 50% of x is equal to 40% of 30% of y.
Which of the following is true? -
Question 17 of 40
17. Question
2 point(s)17. How many of the following statements are true?
A multiple of 4 is always a multiple of 8
A multiple of 9 always has the sum of its digits equal to a multiple of 9
The square of an odd number is always an odd number
All prime numbers are odd -
Question 18 of 40
18. Question
2 point(s)18. A sequence begins, 2, 9, 18, 29, 42, …
What is the 98th term of this sequence?
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Question 19 of 40
19. Question
2 point(s)19. simplify,
(x+2y+1)² – (x-2y-1)²
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Question 20 of 40
20. Question
2 point(s)20. Convert, the partially recurring decimal, 0.163636363…, to a fraction in lowest terms.
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Question 21 of 40
21. Question
2 point(s)21. Simplify,
8c²d × (4cd)²
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Question 22 of 40
22. Question
2 point(s)22. Solve the equation to find the value of x.
7x – x – 1 = -1 2 8
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Question 23 of 40
23. Question
2 point(s)23. What is the Lowest Common Multiple (LCM) of 38808 and 1320?
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Question 24 of 40
24. Question
2 point(s)24. The total takings from tickets sales at a cricket match in Kolkata are INR 11028864. Each ticket costs
INR 112. How many spectators are there? -
Question 25 of 40
25. Question
2 point(s)25. Solve, 12x² +13x −14 = 0
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Question 26 of 40
26. Question
3 point(s)Questions 26 – 35 each carry 3 marks
26. What is the square root of, x⁴ − 6x³ +17x² − 24x +16 ?
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Question 27 of 40
27. Question
3 point(s)27. What is the remainder when 3x⁴− 7x³+15x² − 23x − 5 is divided by (x − 2)?
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Question 28 of 40
28. Question
3 point(s)28. Sruti buys 4 cups of coffee and 3 cups of tea for $18.95. In the same cafe, Wajma buys 2 cups of
coffee and 5 cups of tea and the total comes to $13.85. What is the cost of one cup of coffee? -
Question 29 of 40
29. Question
3 point(s)29. This irregular pentagram has angles as shown.
What is the size of x?
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Question 30 of 40
30. Question
3 point(s)30. What is the equation of the line which is perpendicular to 3x +2y = 7 and which passes through
the point with coordinates, (4, 3)? -
Question 31 of 40
31. Question
3 point(s)31. What is the maximum value of y, given that y =12x − x² − 29 ?
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Question 32 of 40
32. Question
3 point(s)32. Six semicircles are arranged around a regular
hexagon. The distance from the centre of the
hexagon to the centre of each semicirlce is 1 cm.What is the total shaded area?
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Question 33 of 40
33. Question
3 point(s)33. A long line AB is divided at point C so that the ratio of lengths AC : CB is 5 : 3. CB is then divided at
D in the ratio 5 : 3. DB is similarly divided at E in the same ratio and EB is again divided at F in the
ratio 5 : 3. FB is 3 cm. How long is AB? -
Question 34 of 40
34. Question
3 point(s)34. Two squares of side length 2 units and 6 units
touch a circle as shown. What is the radius of
the circle?
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Question 35 of 40
35. Question
3 point(s)35. Two identical triangles overlap. The area of the
overlapping region, B, is one sixth the area of the whole
shaded region.What fraction of the area of one triangle is the area B?
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Question 36 of 40
36. Question
4 point(s)Questions 36 – 40 each carry 4 marks
36. In how many ways can 96 be expressed as the difference of two square integers?
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Question 37 of 40
37. Question
4 point(s)37. Two congruent isosceles triangles overlap
producing a hexagon in the middle. The areas
of the smaller triangles are 4 and the larger
triangels, 36, as shown.
What is the area of the hexagon?
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Question 38 of 40
38. Question
4 point(s)38. Simplify,
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Question 39 of 40
39. Question
4 point(s)39. An open wooden box is a cube with edge
length x cm. The sides and base have
thickness d cm.Which expression shows the total surface
area?
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Question 40 of 40
40. Question
4 point(s)40. How many rectangles of all types are there?
