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 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 $609 for himself.

How much was his salary

$ ___

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 $616 for himself.

How much was his salary

$ ___

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 125 cm of the string after tying the present and making the decorations,

how long was the original string

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 394 m of the track is painted grey,

how long is the entire track

Answer:_______________

Uncle Bobby sold $\frac{1}{3}$ of his apples in the morning and $\frac{1}{6}$ of them in the afternoon. Given that he was left with 465 apples,

how many apples did he have at first

Answer:_______________

Rei used $\frac{1}{12}$ of his money to buy a new swimwear. He also used $\frac{5}{12}$ of his money to buy glasses. If he was left with $54,

how much money did he have at first

$ ___

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 483 m of the track is painted grey,

how long is the entire track

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 196 apples,

how many apples did he have at first

Answer:_______________

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2208 m of the track is painted grey,

how long is the entire track

Answer:_______________

10)

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $18, 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 $609 for himself.

How much was his salary

Answer: $1624

SOLUTION 1 :

Bills

Brother

$609 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	= $609
	1 unit	= $609 ÷ 3
		= $203
Step 4:	8 units	= 8 x $203
		= $1624

His salary was $1624.

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 $616 for himself.

How much was his salary

Answer: $1540

SOLUTION 1 :

Bills

Brother

$616 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	= $616
	1 unit	= $616 ÷ 4
		= $154
Step 4:	10 units	= 10 x $154
		= $1540

His salary was $1540.

how long was the original string

Answer: 200 cm

SOLUTION 1 :

Present

Deco

125 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	= 125 cm
	1 unit	= 125 ÷ 5
		= 25 cm
Step 4:	8 units	= 8 x 25
		= 200 cm

The original string was 200 cm.

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 394 m of the track is painted grey,

how long is the entire track

Answer: 3152 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	= 394 m
	8 units	= 8 x 394 m
		= 3152 m

The entire track was 3152 m long.

Uncle Bobby sold $\frac{1}{3}$ of his apples in the morning and $\frac{1}{6}$ of them in the afternoon. Given that he was left with 465 apples,

how many apples did he have at first

Answer: 930

SOLUTION 1 :

A.M.

P.M.

465 left

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

= $\frac{3}{6}$

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

Step 3:	3 units	= 465
	1 unit	= 465 ÷ 3
		= 155
Step 4:	6 units	= 6 x 155
		= 930

He had 930 apples at first.

Rei used $\frac{1}{12}$ of his money to buy a new swimwear. He also used $\frac{5}{12}$ of his money to buy glasses. If he was left with $54,

how much money did he have at first

Answer: $108

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $54
	1 unit	= $54 ÷ 6
		= $9
Step 2:	12 units	= 12 x $9
		= $108

He had $108 at first.

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 483 m of the track is painted grey,

how long is the entire track

Answer: 1288 m

SOLUTION 1 :

Red

Yellow

Grey

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

= $\frac{5}{8}$

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

Step 3:	3 units	= 483 m
	1 unit	= 483 m ÷ 3
		= 161 m
Step 4:	8 units	= 8 x 161 m
		= 1288 m

The entire track was 1288 m long.

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 196 apples,

how many apples did he have at first

Answer: 588

SOLUTION 1 :

A.M.

P.M.

196 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	= 196
	1 unit	= 196 ÷ 2
		= 98
Step 4:	6 units	= 6 x 98
		= 588

He had 588 apples at first.

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2208 m of the track is painted grey,

how long is the entire track

Answer: 5888 m

SOLUTION 1 :

Red

Yellow

Grey

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	= 2208 m
	1 unit	= 2208 m ÷ 3
		= 736 m
Step 4:	8 units	= 8 x 736 m
		= 5888 m

The entire track was 5888 m long.

10)

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $18, how much did he have at first

Answer: $72

SOLUTION 1 :

Food

Transport

$18 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	= $18
	1 unit	= $18 ÷ 3
		= 6
Step 4:	12 units	= 12 x 6
		= $72

He have $72 at first.