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 $\frac{5}{8}$ of his salary to his brother. In the end, he was left with $560 for himself.

How much was his salary

$ ___

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 285 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 355 cm of the string after tying the present and making the decorations,

how long was the original string

Answer:_______________

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 2616 m of the track is painted grey,

how long is the entire track

Answer:_______________

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $30,

how much money did he have at first

$ ___

Answer:_______________

Joe gave $\frac{1}{3}$ of his stamps to his sibling and $\frac{4}{9}$ of them to some friends.
If Joe had 16 stamps left, how many stamps did Joe have at first

Answer:_______________

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $171, how much did he have at first

$ ___

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 132 pies,

how many pies did he bake 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 888 m of the track is painted grey,

how long is the entire track

Answer:_______________

10)

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 112 apples,

how many apples did he have at first

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 $560 for himself.

How much was his salary

Answer: $4480

SOLUTION 1 :

Bills

Brother

$560 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	= $560
Step 4:	8 units	= 8 x $560
		= $4480

His salary was $4480.

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 285 apples,

how many apples did he have at first

Answer: 570

SOLUTION 1 :

A.M.

P.M.

285 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	= 285
	1 unit	= 285 ÷ 3
		= 95
Step 4:	6 units	= 6 x 95
		= 570

He had 570 apples at first.

how long was the original string

Answer: 568 cm

SOLUTION 1 :

Present

Deco

355 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	= 355 cm
	1 unit	= 355 ÷ 5
		= 71 cm
Step 4:	8 units	= 8 x 71
		= 568 cm

The original string was 568 cm.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 2616 m of the track is painted grey,

how long is the entire track

Answer: 5232 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	= 2616 m
	1 unit	= 2616 m ÷ 3
		= 872 m
Step 4:	6 units	= 6 x 872 m
		= 5232 m

The entire track was 5232 m long.

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $30,

how much money did he have at first

Answer: $70

SOLUTION 1 :

Goggles

Swimsuit

Left

Step 1: $\frac{1}{7}$ + $\frac{3}{7}$ = $\frac{4}{7}$

Step 2: $\frac{7}{7}$ - $\frac{4}{7}$ = $\frac{3}{7}$

Step 3:	3 units	= $30
	1 unit	= $30 ÷ 3
		= $10
Step 4:	7 units	= 7 x $10
		= $70

He had $70 at first.

Joe gave $\frac{1}{3}$ of his stamps to his sibling and $\frac{4}{9}$ of them to some friends.
If Joe had 16 stamps left, how many stamps did Joe have at first

Answer: 72

SOLUTION 1 :

Sibling

Friends

16 left

Step 1: $\frac{1 x 3}{3 x 3}$ + $\frac{4}{9}$ = $\frac{3}{9}$ + $\frac{4}{9}$

= $\frac{7}{9}$

Step 2: $\frac{9}{9}$ - $\frac{7}{9}$ = $\frac{2}{9}$

Step 3:	2 units	= 16
	1 unit	= 16 ÷ 2
		= 8
Step 4:	9 units	= 9 x 8
		= 72

He have 72 stamps at first.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $171, how much did he have at first

Answer: $684

SOLUTION 1 :

Food

Transport

$171 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	= $171
	1 unit	= $171 ÷ 3
		= 57
Step 4:	12 units	= 12 x 57
		= $684

He have $684 at first.

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 132 pies,

how many pies did he bake at first

Answer: 198

SOLUTION 1 :

Neighbour

Aunt

132 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	= 132
	1 unit	= 132 ÷ 4
		= 33
Step 4:	6 units	= 6 x 33
		= 198

He baked 198 pies 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 888 m of the track is painted grey,

how long is the entire track

Answer: 2368 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	= 888 m
	1 unit	= 888 m ÷ 3
		= 296 m
Step 4:	8 units	= 8 x 296 m
		= 2368 m

The entire track was 2368 m long.

10)

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 112 apples,

how many apples did he have at first

Answer: 336

SOLUTION 1 :

A.M.

P.M.

112 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	= 112
	1 unit	= 112 ÷ 2
		= 56
Step 4:	6 units	= 6 x 56
		= 336

He had 336 apples at first.