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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › Algebraic Expressions › Algebra Worksheet-5

Algebra Worksheet-5

Algebra Worksheet-5

 

  1. What must be subtracted from each term of the ratio 4 : 7 so that the ration becomes 2 : 5?

(a) –2                 (b) –1                  (c) 2                    (d) 1

 

  1. Two sums of money are in the ratio 2:5. If the second sum is Rs. 95, then first sum is

(a) Rs. 28          (b) Rs. 21           (c) Rs. 42           (d) Rs. 38

 

  1. The ratio between a two digit number and sum of digits of that number is 4 : 1. If the digit in the units place is 3 more than the digit in the tenth place. What is the number?

(a) 63                                              (b) 36

(c) 48                                              (d) Data is not sufficient

 

  1. If a : b = 3 : 5 then a – b : a + b =

(a)                  (b)                   (c) –4                 (d) 4

 

  1. The ratio of number of boys to girls in a class is 1 : 25. If 36 more girls join, the ratio becomes 1 : 28. The number of boys in the class is

(a) 24                  (b) 32                 (c) 12                  (d) 48

 

  1. A number 720 is divided into two parts in the ratio 3 : 2. Find the product of the numbers.

(a) 1,21,446       (b) 1,24,416       (c) 1,24,616       (d) 1,24,146

 

  1. The ratio of two numbers is a : b. If one of them is x, then other is

(a)                 (b)                 (c)            (d)

 

  1. A number of apples are distributed among A, B And C in the ratio 5 : 7 :  8 respectively. If A gets 45 apples then total number of applies is

(a) 180               (b) 300               (c) 200               (d) None

 

  1. Rs. 4800 are distributed among A, B and C in the ratio of 6 : 5 : 4. The difference between the shares of A and C is

(a) Rs. 450        (b) Rs. 580        (c) Rs. 640        (d) Rs. 1260

 

  1. If two thirds, one half and one seventh of a number is added to itself, the result is 37. Find the number.

(a)             (b)             (c)             (d) None

 

  1. 4  is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.

(a) 16                  (b) 12                  (c) 8                    (d) 20

 

  1. One number is 3 less than the two times of the other. If their sum is increased by 7, the result is 37. Find the numbers.

(a) 9, 11              (b) 11, 13            (c) 11, 19             (d) 9, 13

 

  1. is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.

(a)                    (b)                   (c)                    (d) None

 

  1. The present age of A is twice that of B. 30 years from now, age of A will be 1½ times that of B. Find the present ages of A and B respectively.

(a) 60, 30          (b) 30, 60          (c) 40, 50           (d) 50, 40

 

  1. The present age of a man is 3 times that of his son. Six years ago, the age of the man was four times that of his son. Find the ratio of their ages 6 years later.

(a) 4 : 3              (b) 3 : 4              (c) 2 : 5               (d) 5 : 2

 

  1. A person travelled th of the distance by train, th by bus the remaining 15 km by boat. The total distance travelled by him was

(a) 90 km          (b) 120 km        (c) 150 km         (d) 180 km

 

Answer Key:

(1)-(c); (2)-(d); (3)-(b); (4)-(a); (5)-(c); (6)-(b); (7)-(d); (8)-(a); (9)-(c); (10)-(b); (11)-(a); (12)-(c); (13)-(b);  (14)-(a); (15)-(d); (16)-(b)