Download MSB EDUCATIONAL INSTITUTE Mathematics Olympiad Practice

MSB EDUCATIONAL INSTITUTE
Mathematics Olympiad
Practice Mathematics puzzles
For Grade VIII
1. An equation is a sentence which is
A. True
B. False
C. Open
D. None of these
2. An equation remains unchanged if any number is added to its both sides.
This property is called
A. Addition property of equation
B. Property of additive inverse
C. Commutative property of addition
D. Associative property of addition
3. A quadratic equation in one variable has
A. One root
B. Infinite number of root
C. No root
D. Two roots
4. The solution set of ² − − 2 = 0 is
A. {1}
B. {2}
C. {2, -1}
D. {-1}
5. The solution set of 3 ² − 10 = 0 is
A. {10}
B. {0, }
C. { }
D. {0}
6. The value of sin 30° is
A. 2
B.
C. -2
D.
√
7. sin
A.
B.
<
=
C.
D.
8. If, in the right angled ∆
, < = 90° and the measures of its sides a,
b, c, are 6, 10 and 8 respectively, then tan < =
A.
B.
C.
D.
9. In a right angled ∆
A. ² = ² + ²
B. ² = ² − ²
C. ² = ² + ²
D.
=
−
, if
<
= 90°, then
10.The three sides of a triangle are of measure 5, x and 13 respectively. For
what value of x will it become base of a right angled triangle?
[ < 13]
A. 15
B. 12
C. 14
D. 9
11.In an equilateral triangle, the measure of one side is 12cm. Find the measure
of its altitude.
A. 3√6
B. 6√3
C. 2√2
D. 3√5
12.Can you put the numbers 1 to 8 in each of the squares so that each side adds
up to the middle number?
12
13
14
13. What mathematical symbol can be placed between 5 and 9 to get a number
greater than 5 and smaller
than 9?
15
14.Add 1 line segment to make the statement true.
5+5+5= 550
15. Two fathers and two sons go fishing. Each of them catches one fish. So why
do they bring home only three fish?
16.Using only addition, how can you add eight 8's to get the number 1,000?
17. The ages of a father and son add up to 66. The father's age is the son's age
reversed. How old could they be?
18. In ordered pair (9,-5) of a linear equation, x-intercept is
A. −5
B. 5
C. −9
D. 9
19.The first step in graphing a linear equation is to
A.Identify and plot coordinates
B. Connect two points
C. Extend straight line
D. Substitute values in intercept
20. The slope of a straight line is referred to as
A.
B.
C.
D.
inclination of line
order pair of line
ordinates of lines
intercepts of line
21. In linear equation 'x = c⁄a' with undefined slope, slope is represented with
A.
B.
C.
D.
horizontal lines
perpendicular lines
vertical lines
opposite lines
22. If there are n numbers of which one is
and all the others are 1's, then
by how much is the arithmetic mean of these numbers less than 1?
A.1/n²
B.1/n³
C.n²
D.n³
23. You can form exactly 6 three- digit numbers using the digits 7, 5 and 6 exactly
once in one number. The average of these six numbers is
A.555
B.666
C.222
D.444
24. If P= -2x2 - 6x - 3, Q=x2 - 2x + 6 and R=x2 + x - 9, find (P-Q+R)
A. 2x2 - 3x – 18
B. -2x2 - 3x + 18
C. 2x2 + 3x – 18
D. 2x2 - 3x – 18
25. Count the number of squares in the given figure.
A.13
B.11
C.10
D.14
26. In triangle ΔPQR ,∠Q = 60° and bisectors of angles R and P meet at point S.
Find angle∠RSP.
A.60º
B.50º
C.20º
D.none
27.If 2 angles in a triangle add up to 36° then what is the value of the third angle?
A.100º
B.108º
C.90º
D.110º
28. If ♥ × 4 = ♣, and ♣ - ♥ = 24 0, t hen what is the value of ♣ + ♥?
A.400
B.200
C.300
D.500
29 .Find missing angle
A.132º
B.100º
C.120º
D.130º
30. Find the missing angle
A.42º
B.40º
C.38º
D.none
31 . Which of the following sentences is true?
A.9-4=6
C.23-18=6
B.21+7=28
D.15+17=33
32.2n+5=9
A.2
B.4
C.6
D.0
33. x – 7 = 33
A. 45
B. 48
C. 28
D. 25
34.25rs ÷ 5s
A.25s
B.5r
C.5s
D.5rs
35.
A. bc
B. bc
C. b
D. c
×
36. Mahmud has m marbles. He bought n more marbles. He gave his brother p
marbles. How many marbles has he left?
A. m-n+p
B. m+n-p
C. m-n-p
D. m+n+p
37.8f×2d×3de×2e =
A.90d²ef
B.96d²e²f
C.96def
D.92dfe²
38. The value of x in the figure below is:
A.20⁰
B.40⁰
C.60⁰
D.70⁰
39 .3m + (6m- 9m)
A.2m
B.3m
C.5m
D.m
40. Evaluate 2(e+2f)-((2e+f) when e=3,f=4
A.12
B.22
C.32
D.02
41. A box of sugar and a tin of milk weigh r kg. The box of sugar weighs 5 kg.
What is the weight of a tin of milk?
A. 6kg
B. 10kg
C.5kg
D.15kg
42. A pen and a book cost Rs p. The book costs Rs 8.What is the cost of 5 pens?
A.50p
B.5p
C.15p
D.25p
43. A girl has eaten 60 % of the cake. What fraction of the cake has she eaten?
A.
C.
B.
D.
44. What percentage of 2m is 10 cm?
A. 5%
B.10%
C.1000%
D.50%
45. A glass is three-quarter filled with water. What percentage of the glass is filled
with water?
A. 75%
B. 25%
C. 65%
D. 45%
46. The whole journey in a walking competition is 15 km. Ali Ahmed has
completed 9 km. What percentage of the whole journey has he completed?
A.60%
B.50%
C.40%
D.80%
47. What percentage of the picture is coloured?
A.75%
C.45%
B.35%
D.20%
48. What is 5 % of Rs 120?
A.6.4
B.16.0
C.26.4
D.66.2
49. The price of a car increases from Rs 8600 to Rs 10200. What is the percentage
increase?
A.
B.
C.
D.
50. A piece of string is 30cm long. If this string is used to form a square, what is
the length of each side?
A.7.5
B.7.0
C.8.5
D.8.0
51. Write the smallest possible number using these numbers:
4,3,5,9,1,2,6
52 .0.5min = ______ sec.
53. What direction is on a compass 45⁰ anticlockwise from west?
54.After spending 25 % of my money, I had $6 left. How much had I spent?
55.
= __________________
²
56.
57.
58.
+ +
³
=
59.
60.
61.
²
²
= ________________
=______________
=0 __________________
=_______________
³
²
= _________________