Math Olympiad Questions with solutions : Algebra Class 6
1.Rakhi travelled 4x km distance by walk, 2y km by cycle and 9 km by bus. The total distance covered by Rakhi in an algebraic expression is____.
(A) (x + y + 1) km (B) (4x + 2y + 9) km
(C) (x – y + 2) km (D) (2x + 3y + 1) km
2.The equation for the statement; ‘Half of a number added to 10 is 15’ is______ .
(A) x/2 = 10 + 5 (B) x/2+ 10=15 (C) x/2 + 15=10 (D) x/2 = 10 + 15
3.I had Rs. 200 with me. I gave Rs. x to Anwar, Rs.x/2 to Vidhu and I am left with Rs. x/2. The
amount I gave to Vidhu is_______.
(A) Rs. 50 (B) Rs. 40 (C) Rs. 30 (D) Rs. 15
4.Ages of two friends are in the ratio 2 : 1. If the sum of their ages is 51, then their ages are respectively __________. .
(A) 34 yrs, 20 yrs (B) 34 yrs, 17 yrs (C) 20 yrs, 10 yrs (D) 30 yrs, 15 yrs
5.Equation for the statement ‘Thrice the length (l) of a room is 340 metres’ is ______.
(A) 3l= 430 (B) 3l = 340 (C) 3 + l = 340 (D) 3l + 340 = 0
6.If six times of a number is 48, then the number is______.
(A) – 8 (B) 1 (C) 48 (D) 8
7. An algebraic expression 11 – y can be written in statement as______.
(A) 11 less than y (B) y less than 11
(C) y more than 11 (D) y divided by 11
8. In 6(2a – 1) + 8 = 14, the value of ‘a’ is______.
(A) -1 (B) 3*1 /12 (C) 4/10 (D)1
9. Half of a number is added to 18, then the sum is 46. The number is _______.
(A) 92 (B) 56 (C) 65 (D) 0
10. The method of finding solution by trying out various values for the variable is called _____
(A) Error method (B) Trial and error method
(C) Testing method (D) Checking method
11. In the given figure, magnitude of angles are______ .
(A) 40°, 120° (B) 30°, 90°
(C) 45°, 135° (D) 50°, 150°
12. Value of x in x/2+1/2 = 4 is _________.
(A) 28 (B) -28 (C) 14 (D) -14
13. Meera bought packs of trading cards that contain 10 cards each. She gave away 7 cards. x = Number of packs of trading cards
x= Number of packs of trading cards
Which expression shows the number of cards left with Meera ?
(A) 10x-7 (B) lx-8 (C) 5-10x (D) 8 – 5x
14.To get the value of ‘a’, the number to be divided on either side of equation 6a = 30 is .
(A) -6 (B) 30 (C) 6 (D) 0
15. In 2/3p-2*1/2= 3*1/2, the value of p is_____ .
(A) -9 (B) 6 (C) 9 (D) 0
16. Power of a variable in a linear equation is____ .
(A) 0 (B) One (C) Two (D) Three
17.The value of x in the equation 16(x + 7) = 144 is_________.
(A) 2 (B) 1 (C) 0 (D) 3
18.Number to be added on both the sides of the equation y – 8 = 6 to find the value of V, is ______
(A) -8 (B) 8 (C) 0 (D) -6
19.If 3/4x+8 = 17, then the value of x is________ .
(A) -12 (B) 36 (C) 12 (D) -36
20.The number of girls in a class is 5 times the number of boys. Which of the following cannot be the total number of children in the class?
(A) 24 (B) 30 (C) 35 (D) 42
21.The algebraic expression for the statement “Product of x and a subtracted from the product of b and y” is ______
(A) ax – by (B) x + a – by (C) by -ax (D) xa – b – y
22.In a/8+a/4 = 6. the value of a is _____.
(A) 122 (B) -16 (C) 16 (D) 0
23.A grasshopper can jump up to 91.4 cm in a single jump. If the grasshopper jumped 731.2 cm altogether, how many jumps did it make ?
(A) 17 (B) 8 (C) 9 (D) 12
24.If a = b, then a + x = _______ .
(A) b + x (B) bx (C) b-x (D)b / x
25.The algebraic expression for the statement ‘x multiplied by itself is____.
(A) x (B) x3 (C) x2 (D)2x
26. If a = b, then ax =
(A) a + x (B) bx (C) b-x (D) b + x
28.Simplify : 2a – [3b – {a – (2c – 3b) + 4c-3(a – b- 2c)}].
(A) 8c – 3b (B) 8c + 3b (C) -8c – 3b (D)-8c + 3b
29. 5x – [4y – {7x – (3z- 2y) + 4z – 3(x +3y-2z)}] =
(A) 9x + 11y (B) 9x + 7z (C) 9x -11 y (D)9x – 11y + 7z
30.When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find the number.
(A) 13 (B) 14 (C) 15 (D) 16