Share this:

Fractions Questions

1.  Simplify Image From EcoleBooks.com (3 mks)

2.  Simplify without using calculators and tables

Image From EcoleBooks.com  (3mks)

3.  Evaluate without using a calculator. (3mks)

Image From EcoleBooks.com

4.  A two digit number is such that the sum of the ones and the tens digit is ten. If the digits are reversed, the new number formed exceeds the original number by 54.

Find the number. (3 marks)

5.  Evaluate Image From EcoleBooks.com (3mks)

6.  Convert the recurring decimal lImage From EcoleBooks.com into fraction  (3 mks)

7.  Simplify Image From EcoleBooks.comwithout using tables or calculator  .  (3mks)

8.  Evaluate without using tables or calculators  (4mks)

 Image From EcoleBooks.com

9.  Mr. Saidi keeps turkeys and chickens. The number of turkeys exceeds the number of chickens by 6. During an outbreak of a disease, ¼ of the chicken and 1/3 of the turkeys died. If he lost total of 30 birds, how many birds did he have altogether? (2mks)

10.  Work out Image From EcoleBooks.com   (2mks)

11.   Evaluate  -4 of (-4 + -5 15) + -3 – 4 2)

ecolebooks.com

 84  -7 + 3 – -5

12.  (a) The recurring decimal 0.Image From EcoleBooks.comcan be written as Image From EcoleBooks.com

 (i) Find the common ratio. (2mks)

 (ii) Find an expression for the sum of n terms of this series. (3mks)

 (iii) Find the 8th term of the series. (2mks)

Image From EcoleBooks.com(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find the distance that the ball bounces when it hits the ground the 10th time. (ans to 2 d.p).  (3mks)Image From EcoleBooks.com

13.  Evaluate Image From EcoleBooks.comwithout using a calculator. (3mks)

 

14.  Without using tables or calculators evaluate.

 Image From EcoleBooks.com  (4mks)

15.  Without using tables or calculator, evaluate the following. (2 mks)

8 + (13) x 3 – (5)


1 + (6) ÷ 2 x 2

16.  Without using tables or calculator evaluate (3 marks)

 

Image From EcoleBooks.com

17.  Express Image From EcoleBooks.com as a single fraction (3 marks)

 

 

18.  Simplify  ½ of 3½ + 1½ (2½ – 2/3)  

¾ of 2½  ½

 

 

19.  Evaluate :

2/5
 ½ of 4/9 – 11/10

1/81/6 of 3/8

 

20.  Without using a calculator or table, work out the following leaving the answer as a mixed

number in its simplest form:-

 ¾ + 12/7 ÷ 3/7 of 21/3

( 9/73/8 ) x 2/3

Fractions Answers

1

Image From EcoleBooks.com
Image From EcoleBooks.com

Image From EcoleBooks.com

= Image From EcoleBooks.com

 

M1

 

M1

A1

Simplifying numerator

 

simplify

2.

NumImage From EcoleBooks.com

Image From EcoleBooks.com

= 2

Denom. 8 x 1 x 25

= 200

Image From EcoleBooks.com

 

M1

 

 

 

 

M1

 

 

 

 

A1

 

 

 

 

 

 

 

 

 

 

 

Or equivalent 0.01

  

03

 

3.

Image From EcoleBooks.com

Image From EcoleBooks.com

Image From EcoleBooks.com

Image From EcoleBooks.com

 

 

 

 

 

M1

 

 

 

M1

 

 

A1

 

 

 

 

 

 Application of bodmas

 

 

 

Simplification of both numerators and denominator

  

03

 

4

Let the digits be x and y

The number becomes xy

= 10x +y

and x + y = 10

Reserved yx = 10y + x

(10y + x) – (10x + y) = 54

10y + x – 10x – y = 54

9y – 9x = 54

y – x = 6

y – x = 6

y + x = 10

2y = 16

y = 8

 

x = 8-6 = 2

.

. . The number is 28

 

 

 

 

M1

 

 

 

 

1M

 

 

 

 

 

A1

 

 

 

 

Splitting of ones & tens and the reverse

 

 

 

Solving of the simultaneous eqn.

 

 

 

 

Answer

  

3

 

5

Image From EcoleBooks.com

M1

 

 

M1

 

 

A1

6

Image From EcoleBooks.com

Difference = 216

Difference of multipliers = 100 – 1 = 99

Fraction Image From EcoleBooks.com

 

 

B1

 

 

M1A1

3

7

 

 

Image From EcoleBooks.com
Image From EcoleBooks.com

Image From EcoleBooks.com

Image From EcoleBooks.com

M1

 

M1

 

M1

A1

3

For +ve index

8.

 Image From EcoleBooks.com

 Image From EcoleBooks.com

 

 

 

 

 

 

 

M1

 

M1

 

 

 

M1

 

 

 

A1

 
  

04

 

9.

Let the number of chicken be x

Turkeys will be x + 6

¼x + 1/3 (x + 6) = 30

¼x + 1/3x + 2 = 30

7/12x = 28

 = 48

Number of chickens = 48

Number of turkeys = 48 + 6 = 54

Total number of birds = 54 + 48

= 102

 

 

 

 

 

B1

 

 

 

B1

 

 

 

 

 

For 48

 

 

 

For 102

  

02

 

11.  -4 of (-4 -3) + -3-2)

  -12 + 3 + 5

 

 -4 of (-7-3-2)

  -4 M1 for -4

 

 = 48

  -4 M1 for 48

 

= -12  A1

 

3

 

12.

(a) (i) ratio

Image From EcoleBooks.com

(b) 1st bounce 30m

2nd ¾ x 30 = 22.5m

3rd ¾ x 22.5 = 16.85m

4th ¾ x 16.85 = 12.64m

5th ¾ x 12.64 = 9.48m

6th ¾ x 9.48 = 7.11m

7th ¾ x 7.11 = 5.3325m

8th ¾ x 5.3325 = 3.9993m

9th ¾ x 3.9993 = 2.9995m

10th ¾ x 2.9995 = 2.2496m 2.25

Or using formula

T10 = 30( ¾ )10-1 = 30( ¾ )9

= 30 x 0.07508

2.2524m  2.25m

 

M1

 

A1

 

M1

 

 

M1

 

 

A1

 

 

M1

 

 

A1

 

M1

 

 

M1

 

 

 

 

 

M1

A1

2 d.p

M1

 

A1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Every four

 

 

 

 

 

Every four

    

13.

Image From EcoleBooks.com

M1

M1

A1

For num

For den

  

03

 

14.

Image From EcoleBooks.com

M1

M1

 

A1

 
  

03

 

15

 

-8-39+5

-1-3×2

 

= -42

-7

 

= 6

 

 


M1

 

A1

2

 

 

Numerators & Denominators

    

16

 

Image From EcoleBooks.com

 

 

 

 

M1

 

M1

 

A1

 

 

 

 

Simplified denominator

 

Image From EcoleBooks.com Method shown

Show how to get factors of 13824

  

3 marks

 

17

 Image From EcoleBooks.com

 

B1

 

 

 

 

 

 

 

 

 

 

 

 

 

B1

 

B1

 
  

3

 

 

18.  ½ x 7 = 3 x 1 5 ¾ x 5 x X

  2 2 6 2

7 + 3 x 11 = 15

4 2 2 4

7 + 11 = 18

Image From EcoleBooks.com4 4 4

18
15

  4 4

Image From EcoleBooks.com18 x 4 = 6 = 1 1

 4 15 5 5

 

19.  2/5 ÷ ½ 0f 4/9 – 11/10

 = 2/5 ÷ ½ X 4/9 11/10

= 2/5 x 9/211/10

= 9/511/10 = 18 -11/ 10 = 7/10

 

1/8 1/6 X 3/8 = 1/81/16

= 2-1/16 = 1/16

 

2/5 ÷ ½ 0f 4/9 – 11/10 = 7/10

  1/8 1/6 of 3/8 1/16

 

  = 7/10 X 16/1

  = 56/5 = 111/5

20.  BODMAS

3/7 X 7/3 = 1

9/7 X 1 = 9/7

¾ + 9/7 = 21 + 36 = 57 M1

28 28

9/7 3/8 = 72 – 21 = 51 x 2/3 = 17/28  M1

57/ 28 x 28/17 = 3 6/17     A1

 

 

21.  2 x 9 – 11

  5 2 10

 1 – 1

 8 16

  = 7 x 16

10 1

 

= 56 = 11 1

5 5

 

22.  3/8 (38/555/36 x 12/5)

 

3/8 x 59/15 = 59/40 = 119/40

23.  Numerator

  (9/5 X 25/18 ) ÷ 5/2 X 24


  7/3 – ( ¼ x 12 ) ÷ 5/3

 

  9/5 x 25/18 = 5/2
5/3 x 24

 

  5/2 x 3/5 x 24 = 36

 

  7/3 – ¼ x 12  5/3

  7/3 – 3 x 3/5

  • 36 = 67.50

8/15 = 67 ½

7/3 – 3 x 3/5

 

24.  Let X be money raised

Teachers house = 1/7 x

Classrooms = 2/3 x 6/7 = 4/7x

Remainder = 1/3 x 6/7 = 2/7x

2/7 x = 300000

x = Shs.1050000

 

 

21.  Work out the following, giving the answer as a mixed number in its simplest form.  

 2/5
 ½ of
4/9 – 1 1/10

 1/81/16
x
3/8

 

22.  Evaluate  

Image From EcoleBooks.com

 

 

23.  Without using a calculator, evaluate:

  14/5 of 25/18
12/3 x 24

  21/3 – ¼ of 12
5/3   Leaving the answer as a fraction in its simplest form

 

24.  There was a fund-raising in Matisi high school. One seventh of the money that was raised

was used to construct a teacher’s house and two thirds of the remaining money was used

to construct classrooms. If shs.300,000 remained, how much money was raised  


 




Share this:


EcoleBooks | Fractions Questions and Answers

subscriber

Leave a Reply

Your email address will not be published. Required fields are marked *

Accept Our Privacy Terms.*