Class 6 olympiad question

The bar graph shows the sale of chocolates in 5 months from January to May:
What is the total sale of chocolates from January to May?
a. 3000 b. 3800
c. 4000 d. 4500
2. Fill in the blank:
A quadrilateral with only one pair of opposite side parallel is called a __________
a. Parallelogram b. Trapezium
c. Rhombus d. Kite
3. How many of the following figures have exactly one line of symmetry?
a. 5 b. 6
c. 7 d. 8
4. What will come in place of “?”
a. 72 b. 84
c. 96 d. 112
5. The portion of a circle bounded by a chord and the arc subtended by the chord is called
____________ of a circle.
a. Sector b. Segment
c. Radius d. Diameter
Practical Mathematics (Each Question is 1 Mark)                                                                                                                          6. The given graph shows the fruit preferences of people.How many more people prefer oranges over bananas?
a. 5 b. 10
c. 15 d. 20
7. Two regular pentagons of side 5 cm are joined together as shown in the figure. Find the
perimeter of the new figure:
a. 35 cm b. 40 cm
c. 45 cm d. 50 cm
8. How many lines of symmetry are there in an equilateral triangle?
a. 0 b. 1
c. 2 d. 3
9. The ratio of two numbers is 3:7. If the sum of the numbers is 700, find the two numbers.
a. 210, 490 b. 270, 490
c. 110, 490 d. 110, 650
10. Find the value of x:
11 : 13 :: x : 26
a. 20 b. 21
c. 22 d. 24
11. A car covers a distance of 39.25 km using 2.5 L of petrol. How much distance will it cover in 1
L of petrol?
a. 12.4 km b. 15.7 km
c. 17.5 km d. 19.25 km
12. What is the product of 8/11 and the additive inverse of 44/2?
a. -16 b. 28
c. -34 d. 16
13. Fill in the blank:
The number of diagonals in a heptagon is _________.
a. 12 b. 7
c. 9 d. 14
14. Choose the correct option:
The HCF and LCM of two numbers are 84 and 21, respectively. If the ratio of the two
numbers is 1:4, then the larger of the two numbers is:
a. 12 b. 48
c. 84 d. 108
15. A borrows $800 at the rate of 12% per annum simple interest and B borrows $910 at the rate
of 10% per annum simple interest. In how many years will their debts be equal?
a. 18 years b. 20 years
c. 22 years d. 24 years
16. The average marks in Mathematics for 5 students were found to be 50. Later it was
discovered that in the case of one student, the mark 48 was misread as 84. The correct
average is:
a. 40.2 b. 40.8
c. 42.8 d. 48.2
17. Which of the following statements is true?
a. The product of two negative integers is negative
b. The sum of a negative integer and a positive integer is always positive
c. The product of two positive and two negative integers is positive
d. The product of any number of negative integers is negative
18. Which of the following statements is true?
a. If there is a drop of 4°C from -10°C, the result is -6°C
b. 525 m above sea level is denoted as -525 m
c. |-5| – |-3| = |-8|
d. The absolute value of an integer is never less than the integer itself
19. George travels from place A to place B and Peter travels from place B to place A. George
travels one-third of the distance and Peter travels one-fourth of the distance. The distance
travelled by George is one kilometre more than the distance travelled by Peter. What is the
distance between place A and place B? (In km)
a. 9 b. 10
c. 12 d. 18
20. If A, B, C, and D represent x, ÷, + and -, respectively, then find the value of:
90B3A5D3C9
a. 12 b. 24
c. 156 d. 30
21. What must be added to 203 to get a number whose digits are reversed from the given
number?
a. 100 b. 99
c. 89 d. 77
22. Which of the following is not a pair of twin primes between 10 and 40?
a. (11, 13) b. (21, 23)
c. (17, 19) d. (29, 31)
23. If 64 and 48 are divisible by 4 then what is the difference of the given numbers so that it is
divisible by 4?
a. 12     b. 18
c. 20     d. 16
24. Which of the following will not be the statement for the algebraic expression 20z?
a. The product of z and 20       b. z multiplied by 20
c. 20 times z                             d. 20 divided by z
25. It takes 90 minutes to wash 20 vehicles at a car wash. At this rate, how many minutes does it
take to wash 5 vehicles?
a. 22 minutes                                                                                                                                                                                b. 14 minutes
c. 22 1/2 minutes                                                                                                                                                                          d. 71/2 minutes
26. In a triangle PQR, if PQ + QR = 10 cm, QR + PR = 12 cm and PR + PQ = 16 cm, then the
perimeter of the triangle is:
a. 19 cm b. 17 cm
c. 28 cm d. 22 cm
27. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120
respectively, then what is the sum of the reciprocals of these numbers?
a. 55/601 b. 601/55
c. 11/120 d. 120/11
28. 1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and
the rest violet. If the length of the violet portion is 12.08 m, then what is the length of the rod?
a. 16 m b. 18 m
c. 20 m d. 30 m
29. The present age of a father is 3 years more than 3 times the age of his son. Three years
hence, the father’s age will be 10 years more than twice than age of the son. The father’s
present age is:
a. 33 years b. 39 years
c. 45 years d. 40 years
30. Two numbers are such that the ratio between them is 3:4. If each is increased by 9, the ratio
between the new numbers formed is 6:7. Find the original numbers.
a. 12, 14 b. 18, 21
c. 24, 28 d. 9, 12
31. Annual incomes of ‘A’ and ‘B’ are in the ratio 4:5, respectively. If the income of ‘A’ increases
by 25% and that of ‘B’ increases by 20%, then what is the new ratio of their incomes
respectively?
a. 5:8 b. 4:7
c. 5:6 d. 6:5
32. In the given figure ∠1 = x and ∠7 = 2x/3. Find the value of ∠5.
a. 36° b. 72°
c. 108° d. 144°
33. In the figure, PQRS and RTU are straight lines. The value of ‘y’ is:
a. 100° b. 130°
c. 115° d. 145°
34. Find the value of ‘a’ in the below figure, given that ROS is a straight line.
a. 60° b. 48°
c. 12° d. 6°
35. In the figure shown below, ABC and EFC are straight lines. Find the value of x + y.
a. 120o b. 130o
c. 138o d. 142o
36. Consider an isosceles triangle as shown in the figure below. Find the value of x + y.
a. 62o b. 70o
c. 75o d. 83o
37. PQR is an isosceles triangle and QRS is a straight line. The value of x is:
a. 80o b. 95o
c. 100o d. 110o
38. A polygon is entirely made up of straight lines only. A hexagon ABCDEF is a six-sided
polygon.
How many diagonals are there in the hexagon?
a. 7 b. 8
c. 9 d. 10
39. Study the bar graph and match the lists:
List I List II
P. Total number of cars in the parking lot is 1. Blue
Q. Number of cars which are blue in colour is 2. 25
R. The least common colour among the cars is 3. 70
S. The most common colour among the cars is 4. Red
a. P-2, Q-3, R-1, S-4 b. P-1, Q-2, R-3, S-4
c. P-4, Q-3, R-2, S-1 d. P-3, Q-2, R-4, S-1
40. In the given rectangle MNOP, if length is decreased by 3x, then find the new perimeter.
a. (32x – 2) units b. (30x – 2) units
c. (26x – 2) units d. (28x – 2) units
41. Find m and n in the given ratios:
48 : 384 = m : 784 = 53 : n
a. m = 35, n = 88 b. m = 98, n = 424
c. m = 26, n = 153 d. m = 82, n = 584
42. Choose the correct option:
In a factory men, women and children were employed in the ratio 8:5:1 to finish a job and their
individual wages were in the ratio 5:2:3. Total daily wages of all amount to 318 cents. Find the
total daily wages paid to each category:
a. 240 cents, 60 cents, 18 cents b. 210 cents, 70 cents, 38 cents
c. 190 cents, 95 cents, 33 cents d. 190 cents, 90 cents, 33 cents
43. Due to an increase of 30% in the price of a colour TV, the sale is reduced by 40%, so what
will be the percentage change in income?
a. 10% increase b. 10% decrease
c. 35% decrease d. 22% decrease
44. Match the following:
Column A Column B
a. [29 x 212] ÷ 25 p. 210
b. [219 x 214] ÷ 220 q. 213
c. [217 x 218] ÷ 216 r. 216
d. [26 x 212] ÷ 28 s. 219
a. (a) – (r); (b) – (p); (c) – (s); (d) – (q) b. (a) – (r); (b) – (s); (c) – (q); (d) – (p)
c. (a) – (r); (b) – (q); (c) – (s); (d) – (p) d. (a) – (p); (b) – (q); (c) – (s); (d) – (r)
Achiever’s Section (Each Question is 2 Marks)
45. Simplify:[{(2/3)-2 x (256/625)1/2}-1/2 ÷ ((4/3))-2)3] x (1/0.1)-1 = ____________.
a. 45/37                                                                                                                                                                                          b. 45/36                                
c. 46/35                                                                                                                                                                                          d. 35/46
46. If 63.3605 = 6A + 3/B + 3C + 6/D + 5E, then what is the value of 4A + 7B + 6C + D + 3E.
a. 47.603 b. 4.7603
c. 147.6003 d. 47.6003
47. Consider the following quotients:
I. 368.39 divided by 17
II. 170.50 divided by 62
III. 875.65 divided by 83
Their correct sequence in decreasing order is:
a. I, III, II b. II, I, III
c. II, III, I d. III, I, II
48. Simplify:
(87.4 x 6.5 – 0.1) / (28.4 x 9.8 + 5.68)
a. 1/2 b. 3
c. 2 d. 4
49. A few blocks of wood are used to make the shape of a giraffe as shown below. What is the
volume of wood used to make the giraffe?
a. 640 cm2 b. 1260 cm2
c. 1360 cm2 d. 1400 cm2
50. A tank with two identical metal cubes in it was filled with water to the brim. When the cubes
are removed the water level dropped to 80% of its height. The edge of one cube is:
a. 15 cm b. 25 cm
c. 10 cm d. 8 cm
Answer Key
1. b 2. b 3. d 4. b 5. b 6. d 7. b
8. d 9. a 10. c 11. b 12. a 13. d 14. c
15. c 16. c 17. c 18. d 19. c 20. c 21. b
22. b 23. d 24. d 25. c 26. a 27. c 28. a
29. a 30. d 31. c 32. c 33. b 34. c 35. d
36. c 37. c 38. c 39. d 40. c 41. b 42. a
43. d 44. c 45. a 46. c 47. a 48. c 49. c
50. c