Sasi Math (Revised for 1024)

Scroll:Fractions >> Four Operations of Fractions >> ps (3037)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Mr Samad gave $\frac{1}{6}$ of the pies he baked to his neighbour and $\frac{1}{6}$ to his aunt. If he was left with 100 pies,

how many pies did he bake at first

Answer:_______________

Uncle Bobby sold $\frac{1}{2}$ of his apples in the morning and $\frac{1}{6}$ of them in the afternoon. Given that he was left with 58 apples,

how many apples did he have at first

Answer:_______________

James used $\frac{1}{4}$ of a roll of string to tie a present. He then used $\frac{1}{8}$ of the string to make decorations for a birthday party. Given that he was left with 120 cm of the string after tying the present and making the decorations,

how long was the original string

Answer:_______________

Mr Winchester spent $\frac{1}{10}$ of his salary to pay the household bills and gave $\frac{1}{2}$ of his salary to his brother. In the end, he was left with $656 for himself.

How much was his salary

$ ___

Answer:_______________

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $174, how much did he have at first

$ ___

Answer:_______________

Mr Winchester spent $\frac{1}{4}$ of his salary to pay the household bills and gave $\frac{3}{8}$ of his salary to his brother. In the end, he was left with $165 for himself.

How much was his salary

$ ___

Answer:_______________

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 1317 m of the track is painted grey,

how long is the entire track

Answer:_______________

Mr Winchester spent $\frac{1}{4}$ of his salary to pay the household bills and gave $\frac{5}{8}$ of his salary to his brother. In the end, he was left with $480 for himself.

How much was his salary

$ ___

Answer:_______________

Zac used $\frac{1}{3}$ of a roll of string to tie a present. He then used $\frac{2}{9}$ of the string to make decorations for a birthday party. Given that he was left with 288 cm of the string after tying the present and making the decorations,

how long was the original string

Answer:_______________

10)

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 3322 m of the track is painted grey,

how long is the entire track

Answer:_______________

Mr Samad gave $\frac{1}{6}$ of the pies he baked to his neighbour and $\frac{1}{6}$ to his aunt. If he was left with 100 pies,

how many pies did he bake at first

Answer: 150

SOLUTION 1 :

Neighbour

Aunt

100 left

Step 1: $\frac{1}{6}$ + $\frac{1}{6}$ = $\frac{2}{6}$

Step 2: $\frac{6}{6}$ - $\frac{2}{6}$ = $\frac{4}{6}$

Step 3:	4 units	= 100
	1 unit	= 100 ÷ 4
		= 25
Step 4:	6 units	= 6 x 25
		= 150

He baked 150 pies at first.

Uncle Bobby sold $\frac{1}{2}$ of his apples in the morning and $\frac{1}{6}$ of them in the afternoon. Given that he was left with 58 apples,

how many apples did he have at first

Answer: 174

SOLUTION 1 :

A.M.

P.M.

58 left

Step 1: $\frac{1 x 3}{2 x 3}$ + $\frac{1}{6}$ = $\frac{3}{6}$ + $\frac{1}{6}$

= $\frac{4}{6}$

Step 2: $\frac{6}{6}$ - $\frac{4}{6}$ = $\frac{2}{6}$

Step 3:	2 units	= 58
	1 unit	= 58 ÷ 2
		= 29
Step 4:	6 units	= 6 x 29
		= 174

He had 174 apples at first.

how long was the original string

Answer: 192 cm

SOLUTION 1 :

Present

Deco

120 cm left

Step 1: $\frac{1 x 2}{4 x 2}$ + $\frac{1}{8}$ = $\frac{2}{8}$ + $\frac{1}{8}$

= $\frac{3}{8}$

Step 2: $\frac{8}{8}$ - $\frac{3}{8}$ = $\frac{5}{8}$

Step 3:	5 units	= 120 cm
	1 unit	= 120 ÷ 5
		= 24 cm
Step 4:	8 units	= 8 x 24
		= 192 cm

The original string was 192 cm.

Mr Winchester spent $\frac{1}{10}$ of his salary to pay the household bills and gave $\frac{1}{2}$ of his salary to his brother. In the end, he was left with $656 for himself.

How much was his salary

Answer: $1640

SOLUTION 1 :

Bills

Brother

$656 left

Step 1: $\frac{1}{10}$ + $\frac{1 x 5}{2 x 5}$ = $\frac{1}{10}$ + $\frac{5}{10}$

= $\frac{6}{10}$

Step 2: $\frac{10}{10}$ - $\frac{6}{10}$ = $\frac{4}{10}$

Step 3:	4 units	= $656
	1 unit	= $656 ÷ 4
		= $164
Step 4:	10 units	= 10 x $164
		= $1640

His salary was $1640.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $174, how much did he have at first

Answer: $696

SOLUTION 1 :

Food

Transport

$174 left

Step 1: $\frac{1 x 4}{3 x 4}$ + $\frac{5}{12}$ = $\frac{4}{12}$ + $\frac{5}{12}$

= $\frac{9}{12}$

Step 2: $\frac{12}{12}$ - $\frac{9}{12}$ = $\frac{3}{12}$

Step 3:	3 units	= $174
	1 unit	= $174 ÷ 3
		= 58
Step 4:	12 units	= 12 x 58
		= $696

He have $696 at first.

Mr Winchester spent $\frac{1}{4}$ of his salary to pay the household bills and gave $\frac{3}{8}$ of his salary to his brother. In the end, he was left with $165 for himself.

How much was his salary

Answer: $440

SOLUTION 1 :

Bills

Brother

$165 left

Step 1: $\frac{1 x 2}{4 x 2}$ + $\frac{3}{8}$ = $\frac{2}{8}$ + $\frac{3}{8}$

= $\frac{5}{8}$

Step 2: $\frac{8}{8}$ - $\frac{5}{8}$ = $\frac{3}{8}$

Step 3:	3 units	= $165
	1 unit	= $165 ÷ 3
		= $55
Step 4:	8 units	= 8 x $55
		= $440

His salary was $440.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 1317 m of the track is painted grey,

how long is the entire track

Answer: 2634 m

SOLUTION 1 :

Red

Yellow

Grey

Step 1: $\frac{1 x 2}{3 x 2}$ + $\frac{2}{6}$ = $\frac{2}{6}$ + $\frac{1}{6}$

= $\frac{3}{6}$

Step 2: $\frac{6}{6}$ - $\frac{3}{6}$ = $\frac{3}{6}$

Step 3:	3 units	= 1317 m
	1 unit	= 1317 m ÷ 3
		= 439 m
Step 4:	6 units	= 6 x 439 m
		= 2634 m

The entire track was 2634 m long.

Mr Winchester spent $\frac{1}{4}$ of his salary to pay the household bills and gave $\frac{5}{8}$ of his salary to his brother. In the end, he was left with $480 for himself.

How much was his salary

Answer: $3840

SOLUTION 1 :

Bills

Brother

$480 left

Step 1: $\frac{1 x 2}{4 x 2}$ + $\frac{5}{8}$ = $\frac{2}{8}$ + $\frac{5}{8}$

= $\frac{7}{8}$

Step 2: $\frac{8}{8}$ - $\frac{7}{8}$ = $\frac{1}{8}$

Step 3:	1 unit	= $480
Step 4:	8 units	= 8 x $480
		= $3840

His salary was $3840.

how long was the original string

Answer: 648 cm

SOLUTION 1 :

Present

Deco

288 cm left

Step 1: $\frac{1 x 3}{3 x 3}$ + $\frac{2}{9}$ = $\frac{3}{9}$ + $\frac{2}{9}$

= $\frac{5}{9}$

Step 2: $\frac{9}{9}$ - $\frac{5}{9}$ = $\frac{4}{9}$

Step 3:	4 units	= 288 cm
	1 unit	= 288 ÷ 4
		= 72 cm
Step 4:	9 units	= 9 x 72
		= 648 cm

The original string was 648 cm.

10)

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 3322 m of the track is painted grey,

how long is the entire track

Answer: 26576 m

SOLUTION 1 :

Red

Yellow

Grey

Step 1: $\frac{1 x 4}{2 x 4}$ + $\frac{3}{8}$ = $\frac{4}{8}$ + $\frac{3}{8}$

= $\frac{7}{8}$

Step 2: $\frac{8}{8}$ - $\frac{7}{8}$ = $\frac{1}{8}$

Step 3:	1 unit	= 3322 m
	8 units	= 8 x 3322 m
		= 26576 m

The entire track was 26576 m long.