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 120 pies,

how many pies did he bake 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 2220 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 $78,

how much money did he have at first

$ ___

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 3069 m of the track is painted grey,

how long is the entire track

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 2976 m of the track is painted grey,

how long is the entire track

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 $588 for himself.

How much was his salary

$ ___

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 $630 for himself.

How much was his salary

$ ___

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 $48,

how much money did he 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 $93, how much did he have at first

$ ___

Answer:_______________

10)

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 $600 for himself.

How much was his salary

$ ___

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 120 pies,

how many pies did he bake at first

Answer: 180

SOLUTION 1 :

Neighbour

Aunt

120 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	= 120
	1 unit	= 120 ÷ 4
		= 30
Step 4:	6 units	= 6 x 30
		= 180

He baked 180 pies 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 2220 m of the track is painted grey,

how long is the entire track

Answer: 4440 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	= 2220 m
	1 unit	= 2220 m ÷ 3
		= 740 m
Step 4:	6 units	= 6 x 740 m
		= 4440 m

The entire track was 4440 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 $78,

how much money did he have at first

Answer: $182

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	= $78
	1 unit	= $78 ÷ 3
		= $26
Step 4:	7 units	= 7 x $26
		= $182

He had $182 at first.

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 3069 m of the track is painted grey,

how long is the entire track

Answer: 24552 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	= 3069 m
	8 units	= 8 x 3069 m
		= 24552 m

The entire track was 24552 m long.

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 2976 m of the track is painted grey,

how long is the entire track

Answer: 7936 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	= 2976 m
	1 unit	= 2976 m ÷ 3
		= 992 m
Step 4:	8 units	= 8 x 992 m
		= 7936 m

The entire track was 7936 m long.

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 $588 for himself.

How much was his salary

Answer: $1470

SOLUTION 1 :

Bills

Brother

$588 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	= $588
	1 unit	= $588 ÷ 4
		= $147
Step 4:	10 units	= 10 x $147
		= $1470

His salary was $1470.

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 $630 for himself.

How much was his salary

Answer: $5040

SOLUTION 1 :

Bills

Brother

$630 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	= $630
Step 4:	8 units	= 8 x $630
		= $5040

His salary was $5040.

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 $48,

how much money did he have at first

Answer: $96

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $48
	1 unit	= $48 ÷ 6
		= $8
Step 2:	12 units	= 12 x $8
		= $96

He had $96 at first.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $93, how much did he have at first

Answer: $372

SOLUTION 1 :

Food

Transport

$93 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	= $93
	1 unit	= $93 ÷ 3
		= 31
Step 4:	12 units	= 12 x 31
		= $372

He have $372 at first.

10)

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 $600 for himself.

How much was his salary

Answer: $1600

SOLUTION 1 :

Bills

Brother

$600 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	= $600
	1 unit	= $600 ÷ 3
		= $200
Step 4:	8 units	= 8 x $200
		= $1600

His salary was $1600.