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Maths Nibuna Q024 - Algebraic Problem solving

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

If the sum of two consecutive multiples of 4 is 108, find the numbers.

a)

60 and 64

b)

52 and 56

c)

56 and 60

d)

48 and 52

2.

The age of a man is same as his wife’s age with the digits reversed. The sum of their ages is 110 years and the man is 18 years older than his wife. How old is the man?

a)

65

b)

63

c)

64

d)

76

3.

By subtracting 3 from 6 times a number, we get 33. Find the number.

a)

9

b)

12

c)

6

d)

5

4.

A number is multiplied by 10 and 11 is added to their product. If their result is 211, what was the original number?

a)

17

b)

20

c)

23

d)

18

5.

Ermi's age is twice that of Izzati, Izzati's age is twice that of Lala and Lala's age is twice that of Amy. If the average of the ages of Ermi, Izzati, Lala and Amy is 22.5 years, then

the present age of Ermi is ______________ years.

a)

48

b)

52

c)

34

d)

28

6.

The sum of 3 consecutive even numbers is 24. Find the third number.

a)

10

b)

8

c)

6

d)

12

7.

The denominator of a rational number is greater than its numerator by 8. If 8 is subtracted from the numerator and 7 is added to its denominator, the new number becomes  124\frac{1}{24}  . The original number is

a)

917\frac{9}{17}

b)

813\frac{8}{13}

c)

611\frac{6}{11}

d)

514\frac{5}{14}

8.

The length of a rectangular field is 5 meters more than its breadth. If its perimeter is 50 meters, find the length in meter.

a)

15

b)

10

c)

12

d)

16

9.

The mother's age is 5 times her son's age. After 8 years, the age of the mother will be 17/5 times her son's age. The present ages of the son and the mother are, respectively.

a)

12 years and 60 years

b)

15 years and 60 years

c)

12 years and 55 years

d)

15 years and 55 years

10.

Qamariena has two planks of wood. One of them is 16 m less than 4 times the length of the other one. The two planks put together are 19 metres long. What is the length (in metres) of the shorter plank?

a)

7

b)

6

c)

8

d)

12

11.

The number of days left in the month of December are 17 more than the number of days already passed. How many days are left in the month?

a)

24 days

b)

22 days

c)

31 days

d)

14 days

12.

A rectangular field's length is 3 times its breadth. If its perimeter is 40 meters, find the length in meters

a)

15

b)

10

c)

5

d)

20

13.

Angeline's uncle is 4 times as old as Angeline. After 16 years, her uncle will be 2 times as old as Angeline. What is Angeline's current age?

a)

8

b)

16

c)

12

d)

4

14.

An amount of RM 5530 is made up with the notes of denominations RM 100, 50, 20, and 10 notes. The number of RM10 notes are 4 times the number of RM20 notes. The number of RM20 notes are 3 times the number of RM50 notes. The number of RM50 notes are 3 times the number of RM100 notes. Find the number of RM100 notes.

a)

7

b)

8

c)

4

d)

9

15.

The sum of 3 consecutive odd numbers is 39. Find the numbers.

a)

11, 13, 15

b)

7, 9, 11

c)

9,11, 13

d)

13, 15, 17