International Vedic Maths Olympiad 2024
1 Hour
This Olympiad consists of 40 multiple choice questions.
2 marks are awarded for correct answers for questions 1 – 25
3 marks are awarded for correct answers for questions 26 – 35 and -1 mark for each incorrect answer.
4 marks are awarded for correct answers for questions 36 – 40 and -2 marks for each incorrect answer.
Negative marks for incorrect answers for questions 26 – 40 are to discourage guessing.
Rules
Rough workings can be done on plane paper.
Electronic devices such as computers, calculators, smart watches and mobile phones are not allowed.
Measuring or drawing instruments are not allowed.
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Question 1 of 40
1. Question
0 point(s)Questions 1 – 25: Score 2 marks for each correct answer.
9−8(7−6(5−4(3−2(1−0))))
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Question 2 of 40
2. Question
0 point(s)107×106
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Question 3 of 40
3. Question
0 point(s)Which of the following is divisible by 18?
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Question 4 of 40
4. Question
0 point(s)How many zeros are in the answer to 663663663221 ÷ 221?
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Question 5 of 40
5. Question
0 point(s)9872
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Question 6 of 40
6. Question
0 point(s)478 X 994
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Question 7 of 40
7. Question
0 point(s)When using the Vertically and Crosswise method to multiply 6734×2963 what is the result of the fouth step before any carry digits have been added?
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Question 8 of 40
8. Question
0 point(s)How many decimal digits are there in the non-recurring decimal equivalent of the fraction, 157 ? 320 -
Question 9 of 40
9. Question
0 point(s)What is the digit showing as A in the calculation, 83×87=7A21?
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Question 10 of 40
10. Question
0 point(s)What is the remainder for 256379÷12101 ?
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Question 11 of 40
11. Question
0 point(s)Which is the most suitable sutra for the calculation in the previous question?
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Question 12 of 40
12. Question
0 point(s)Each shape is made of four identical right-angled isosceles triangles. Which shape has the smallest perimeter?
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Question 13 of 40
13. Question
0 point(s)Which of the following is the equation of the straight line which passes through the point (7,−10) and and has gradient −2 ?
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Question 14 of 40
14. Question
0 point(s)Given that x2−6x+3=0 , what is the value of x+ 3 ? x -
Question 15 of 40
15. Question
0 point(s)One of the following is divisible by 47. Which is it?
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Question 16 of 40
16. Question
0 point(s)What is the last digit of 32024 ?
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Question 17 of 40
17. Question
0 point(s)A truncated icosahedron has 12 pentagon faces and 20 hexagon faces. Faces are joined along their edges.
How many edges are there?
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Question 18 of 40
18. Question
0 point(s)Which of the following is equivalent to 222 ×333 ?
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Question 19 of 40
19. Question
0 point(s)From the top of a 96 metre vertical cliff, Odysseus throws a spear at a Trojan ship and hits it at sea level. The path of the spear is modelled as,
h(x)=96+2x− x2 25 , 
where h is the height of the spear above sea level and x is the horizontal distance from the cliff.
How far from the cliff is the Trojan ship? -
Question 20 of 40
20. Question
0 point(s)In the Proportionately method for finding the cube of 32, what are the missing values, A and B?
  27  18  12  8        A   B -
Question 21 of 40
21. Question
0 point(s)2log3+3log2−3log6 simplified as a single log is,
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Question 22 of 40
22. Question
0 point(s)The point M lies inside a cube. Lines drawn from M to each vertex form six pyramids where the faces of the cube are the square bases of the pyramids.
Volumes of five of the pyramids are 150, 250, 300, 500 and 600 cubic units.
What is the volume of the sixth pyramid?
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Question 23 of 40
23. Question
0 point(s)Michael used a working base of 250 to calculate 246×232 , but came up with the wrong answer (912288) at the final step. What should his final step have been?
  246−004 × 232−018 4) 228 072   912 288 -
Question 24 of 40
24. Question
0 point(s)What is the minimum value of x2 + y2 + 2xy + 8x + 8y + 12 ?
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Question 25 of 40
25. Question
0 point(s)The parallelogram, OABC, has area 50 square units.
The vertex C lies at (4, 6). The y-coordinate of A is -2.
What is the x-coordinate of A?
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Question 26 of 40
26. Question
0 point(s)Questions 26 – 35: Score 3 marks for each correct answer. -1 mark for each incorrect answer.
What is the third derivative of (3x−1)3?
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Question 27 of 40
27. Question
0 point(s)What is the smallest value of k for which k! is divisible by 2024?
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Question 28 of 40
28. Question
0 point(s)How many parallelograms are in the figure?
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Question 29 of 40
29. Question
0 point(s)Given that, a=75 b=36√5 c=72 d=32√5, which of the following is true?
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Question 30 of 40
30. Question
0 point(s)After the decimal point, what is the 7th digit in the decimal equivalent of 7/79?
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Question 31 of 40
31. Question
0 point(s)Points A(-1, 3) and B(1, 1) lie on a circle whose centre lies on the line, x+y+4=0. What is the radius of the circle?
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Question 32 of 40
32. Question
0 point(s)Given that, ax4+ bx3+ cx2+ dx+ e = (2x2 + Ax + 7)(3x2 + 2x + 4) and that, a + b + c + d + e = 108, what is the value of A?
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Question 33 of 40
33. Question
0 point(s)Given that y = x2 − 12x + 27 and 4x + y = c have no common solutions, which inequality is true?
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Question 34 of 40
34. Question
0 point(s)Angle A is denoted by the triple A) 2  1  √5.
Which of the following is a triple for 3A? -
Question 35 of 40
35. Question
0 point(s)A circle has equation, x2+y2−2y=0.
Tangents to the circle intersect at (0, 3).
What is the area of the shaded region?
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Question 36 of 40
36. Question
0 point(s)Questions 36 – 40: Score 4 marks for each correct answer. -2 marks for each incorrect answer.
In the power series expansion of 2 , what is the coefficient of x3 ? 1+4x+x2 -
Question 37 of 40
37. Question
0 point(s)What is the area above the x-axis, bounded by the x-axis, the curve y=√x and the line y=x−6?
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Question 38 of 40
38. Question
0 point(s)Three touching circles, each of radius 1, touch the edge of a semicircle as shown.
What is the area of the shaded region?
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Question 39 of 40
39. Question
0 point(s)Which expression corresponds to 
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Question 40 of 40
40. Question
0 point(s)ABCD is a quadrilateral with a right angle at A.
Side lengths as shown are 6, 2√5, 2√17 and 6.
The diagonals meet at E.
What is the ratio of lengths AE : DE?
