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Pairs of equations (test 1)

Total questions: 15

Worksheet time: 31mins

Name
Class
Date
1.

In a rectangle of perimeter one metre, one side is five centimetres longer than the other. What are the lengths of the sides?

a)

Length of the sides are 27.5 cm and 22.5 cm.

b)

Length of the sides are 25.5 cm and 24.5 cm.

c)

Length of the sides are 26.5 cm and 23.5 cm.

d)

Length of the sides are 28.5 cm and 21.5 cm.

2.

A class has 4 more girls than boys. On a day when only 8 boys were absent, the number of girls was twice that of the boys. How many girls and boys are there in the class?

a)

19 boys & 23 girls

b)

21 boys & 25 girls

c)

20 boys & 24 girls

d)

15 boys & 19 girls

3.

There are some oranges in a bag. When 10 oranges more added in the bag; the numbers become 3 times of the oranges initially had. Then how many oranges were there in the bag initially.

a)

Number of oranges are 6.

b)

Number of oranges are 5.

c)

Number of oranges are 4.

d)

Number of oranges are 7.

4.

A box contains some white balls and some black balls. The number of black balls is 8 more than the number of white balls. The total number of balls is 4 times the number of white balls. Find out the number of white balls and the number of black balls.

a)

3 white balls & 11 black balls

b)

4 white balls & 12 black balls

c)

6 white balls & 14 black balls

d)

5 white balls & 13 black balls

5.

The sum of two numbers is 36 and the difference is 8. Find the numbers.

a)

The numbers are 21 & 13.

b)

The numbers are 20 & 12.

c)

The numbers are 23 & 15.

d)

The numbers are 22 & 14.

6.

The cost of 2 pencils and 5 pens is Rs 17, two pencils and 3 pens of the same rate is Rs 11. Find out the prices of a pencil and a pen.

a)

Prices are Rs 1 & Rs 3.

b)

Prices are Rs 1 & Rs 4.

c)

Prices are Rs 2 & Rs 3.

d)

Prices are Rs 2 & Rs 5.

7.

Twice of a number added with thrice of another number gives 23. Four times the first number and 5 times the second number when added gives 41. Find out the numbers.

a)

The numbers are 4 & 6.

b)

The numbers are 5 & 6.

c)

The numbers are 4 & 5.

d)

The numbers are 3 & 4.

8.

Rama spends Rs 97 to buy 4 two hundred page note books and 5 hundred page note books. Geetha spends Rs 101 to buy 5 two hundred page note book and 4 one hundred page note books. What is the prices of two types of note books?

a)

Prices are Rs 14 & Rs 8.

b)

Prices are Rs 12 & Rs 7.

c)

Prices are Rs 13 & Rs 9.

d)

Prices are Rs 15 & Rs 10.

9.

6 years back the age of Muneer was 3 times the age of Mujeeb but before 2 years the age of Muneer becomes twice the age of Mujeeb. Find the age of two of them now.

a)

Ages are 10 & 18.

b)

Ages are 12 & 20.

c)

Ages are 9 & 17.

d)

Ages are 11 & 19.

10.

The cost of 4 chairs and 5 tables is Rs 6600 and the cost of 5 chairs and 3 tables is Rs 5000 at the same prices. What are the prices of a table and a chair?

a)

Prices are Rs 2000 & Rs 800.

b)

Prices are Rs 500 & Rs 200.

c)

Prices are Rs 1500 & Rs 600.

d)

Prices are Rs 1000 & Rs 400.

11.

The hypotenuse of a right triangle is 6. 5 centimetres and its area is 7. 5 square centimetres. Calculate the lengths of its perpendicular sides.

a)

Length of its perpendicular sides are 4 cm & 1. 5 cm.

b)

Length of its perpendicular sides are 6 cm & 2. 5 cm.

c)

Length of its perpendicular sides are 5 cm & 2 cm.

d)

Length of its perpendicular sides are 6 cm & 2cm.

12.

Two high schools planned senior trips. High school A rented 1 van and 6 buses. They took 372 students. High school B rented 4 vans and 12 buses. They took 780 students. How many students does a van and bus hold?

a)

A van holds 18 students and a bus holds 59 students.

b)

A van holds 59 students and a bus holds 18 students.

c)

A van holds 24 students and a bus hold 54 students.

d)

A van holds 54 students and a bus holds 24 students.

13.

When we add two numbers, x, and y, we get 12. When we subtract the two numbers, we get 4. What are the two numbers?

a)

The numbers are 8 and 4.

b)

The numbers are 6 and 6.

c)

The numbers are 12 and 0.

d)

The numbers are 11 and 1.

14.

There are 100 beads in a box, some black and some white; 10 more black than white. How man black, how many white?

a)

55 black and 45 white

b)

50 black and 40 white

c)

60 black and 50 white

d)

45 black and 35 white

15.

The price of 3 pencils and 4 pens is 26 rupees; and for 6 pencils and 3 pens, it is 27 rupees. What is the price of each?

a)

Prices are Rs 3 and Rs 6.

b)

Prices are Rs 5 and Rs 8.

c)

Prices are Rs 2 and Rs 5.

d)

Prices are Rs 4 and Rs 7.