Sasi Math (Revised for 1024)

Scroll:Fraction >> 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.

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2079 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 $186, how much did he have at first

$ ___

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 273 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 $\frac{3}{8}$ of his salary to his brother. In the end, he was left with $807 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 2739 m of the track is painted grey,

how long is the entire track

Answer:_______________

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 1668 m of the track is painted grey,

how long is the entire track

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 $72,

how much money 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 284 apples,

how many apples 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 2817 m of the track is painted grey,

how long is the entire track

Answer:_______________

10)

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 $490 for himself.

How much was his salary

$ ___

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2079 m of the track is painted grey,

how long is the entire track

Answer: 16632 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	= 2079 m
	8 units	= 8 x 2079 m
		= 16632 m

The entire track was 16632 m long.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $186, how much did he have at first

Answer: $744

SOLUTION 1 :

Food

Transport

$186 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	= $186
	1 unit	= $186 ÷ 3
		= 62
Step 4:	12 units	= 12 x 62
		= $744

He have $744 at first.

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 273 apples,

how many apples did he have at first

Answer: 546

SOLUTION 1 :

A.M.

P.M.

273 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	= 273
	1 unit	= 273 ÷ 3
		= 91
Step 4:	6 units	= 6 x 91
		= 546

He had 546 apples 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 $807 for himself.

How much was his salary

Answer: $2152

SOLUTION 1 :

Bills

Brother

$807 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	= $807
	1 unit	= $807 ÷ 3
		= $269
Step 4:	8 units	= 8 x $269
		= $2152

His salary was $2152.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 2739 m of the track is painted grey,

how long is the entire track

Answer: 5478 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	= 2739 m
	1 unit	= 2739 m ÷ 3
		= 913 m
Step 4:	6 units	= 6 x 913 m
		= 5478 m

The entire track was 5478 m long.

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 1668 m of the track is painted grey,

how long is the entire track

Answer: 4448 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	= 1668 m
	1 unit	= 1668 m ÷ 3
		= 556 m
Step 4:	8 units	= 8 x 556 m
		= 4448 m

The entire track was 4448 m long.

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 $72,

how much money did he have at first

Answer: $144

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $72
	1 unit	= $72 ÷ 6
		= $12
Step 2:	12 units	= 12 x $12
		= $144

He had $144 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 284 apples,

how many apples did he have at first

Answer: 852

SOLUTION 1 :

A.M.

P.M.

284 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	= 284
	1 unit	= 284 ÷ 2
		= 142
Step 4:	6 units	= 6 x 142
		= 852

He had 852 apples 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 2817 m of the track is painted grey,

how long is the entire track

Answer: 7512 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	= 2817 m
	1 unit	= 2817 m ÷ 3
		= 939 m
Step 4:	8 units	= 8 x 939 m
		= 7512 m

The entire track was 7512 m long.

10)

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 $490 for himself.

How much was his salary

Answer: $3920

SOLUTION 1 :

Bills

Brother

$490 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	= $490
Step 4:	8 units	= 8 x $490
		= $3920

His salary was $3920.