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.

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $99,

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 80 stamps left, how many stamps did Joe have at first

Answer:_______________

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 948 m of the track is painted grey,

how long is the entire track

Answer:_______________

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $162, how much did he have 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 224 apples,

how many apples did he have at first

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 $404 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 111 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 $78,

how much money 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 $213 for himself.

How much was his salary

$ ___

Answer:_______________

10)

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 180 pies,

how many pies did he bake at first

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 $99,

how much money did he have at first

Answer: $231

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	= $99
	1 unit	= $99 ÷ 3
		= $33
Step 4:	7 units	= 7 x $33
		= $231

He had $231 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 80 stamps left, how many stamps did Joe have at first

Answer: 360

SOLUTION 1 :

Sibling

Friends

80 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	= 80
	1 unit	= 80 ÷ 2
		= 40
Step 4:	9 units	= 9 x 40
		= 360

He have 360 stamps at first.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 948 m of the track is painted grey,

how long is the entire track

Answer: 1896 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	= 948 m
	1 unit	= 948 m ÷ 3
		= 316 m
Step 4:	6 units	= 6 x 316 m
		= 1896 m

The entire track was 1896 m long.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $162, how much did he have at first

Answer: $648

SOLUTION 1 :

Food

Transport

$162 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	= $162
	1 unit	= $162 ÷ 3
		= 54
Step 4:	12 units	= 12 x 54
		= $648

He have $648 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 224 apples,

how many apples did he have at first

Answer: 672

SOLUTION 1 :

A.M.

P.M.

224 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	= 224
	1 unit	= 224 ÷ 2
		= 112
Step 4:	6 units	= 6 x 112
		= 672

He had 672 apples at first.

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 $404 for himself.

How much was his salary

Answer: $1010

SOLUTION 1 :

Bills

Brother

$404 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	= $404
	1 unit	= $404 ÷ 4
		= $101
Step 4:	10 units	= 10 x $101
		= $1010

His salary was $1010.

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 111 apples,

how many apples did he have at first

Answer: 222

SOLUTION 1 :

A.M.

P.M.

111 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	= 111
	1 unit	= 111 ÷ 3
		= 37
Step 4:	6 units	= 6 x 37
		= 222

He had 222 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 $78,

how much money did he have at first

Answer: $156

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $78
	1 unit	= $78 ÷ 6
		= $13
Step 2:	12 units	= 12 x $13
		= $156

He had $156 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 $213 for himself.

How much was his salary

Answer: $568

SOLUTION 1 :

Bills

Brother

$213 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	= $213
	1 unit	= $213 ÷ 3
		= $71
Step 4:	8 units	= 8 x $71
		= $568

His salary was $568.

10)

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 180 pies,

how many pies did he bake at first

Answer: 270

SOLUTION 1 :

Neighbour

Aunt

180 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	= 180
	1 unit	= 180 ÷ 4
		= 45
Step 4:	6 units	= 6 x 45
		= 270

He baked 270 pies at first.