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.

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 190 apples,

how many apples 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 3035 m of the track is painted grey,

how long is the entire track

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 $321 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 $664 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 282 apples,

how many apples 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 14 stamps left, how many stamps did Joe 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 1368 m of the track is painted grey,

how long is the entire track

Answer:_______________

Zac used $\frac{1}{3}$ of a roll of string to tie a present. He then used $\frac{2}{9}$ of the string to make decorations for a birthday party. Given that he was left with 80 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 1713 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 $180, 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 190 apples,

how many apples did he have at first

Answer: 570

SOLUTION 1 :

A.M.

P.M.

190 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	= 190
	1 unit	= 190 ÷ 2
		= 95
Step 4:	6 units	= 6 x 95
		= 570

He had 570 apples 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 3035 m of the track is painted grey,

how long is the entire track

Answer: 24280 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	= 3035 m
	8 units	= 8 x 3035 m
		= 24280 m

The entire track was 24280 m long.

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 $321 for himself.

How much was his salary

Answer: $856

SOLUTION 1 :

Bills

Brother

$321 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	= $321
	1 unit	= $321 ÷ 3
		= $107
Step 4:	8 units	= 8 x $107
		= $856

His salary was $856.

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 $664 for himself.

How much was his salary

Answer: $1660

SOLUTION 1 :

Bills

Brother

$664 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	= $664
	1 unit	= $664 ÷ 4
		= $166
Step 4:	10 units	= 10 x $166
		= $1660

His salary was $1660.

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 282 apples,

how many apples did he have at first

Answer: 564

SOLUTION 1 :

A.M.

P.M.

282 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	= 282
	1 unit	= 282 ÷ 3
		= 94
Step 4:	6 units	= 6 x 94
		= 564

He had 564 apples 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 14 stamps left, how many stamps did Joe have at first

Answer: 63

SOLUTION 1 :

Sibling

Friends

14 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	= 14
	1 unit	= 14 ÷ 2
		= 7
Step 4:	9 units	= 9 x 7
		= 63

He have 63 stamps 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 1368 m of the track is painted grey,

how long is the entire track

Answer: 3648 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	= 1368 m
	1 unit	= 1368 m ÷ 3
		= 456 m
Step 4:	8 units	= 8 x 456 m
		= 3648 m

The entire track was 3648 m long.

how long was the original string

Answer: 180 cm

SOLUTION 1 :

Present

Deco

80 cm left

Step 1: $\frac{1 x 3}{3 x 3}$ + $\frac{2}{9}$ = $\frac{3}{9}$ + $\frac{2}{9}$

= $\frac{5}{9}$

Step 2: $\frac{9}{9}$ - $\frac{5}{9}$ = $\frac{4}{9}$

Step 3:	4 units	= 80 cm
	1 unit	= 80 ÷ 4
		= 20 cm
Step 4:	9 units	= 9 x 20
		= 180 cm

The original string was 180 cm.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 1713 m of the track is painted grey,

how long is the entire track

Answer: 3426 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	= 1713 m
	1 unit	= 1713 m ÷ 3
		= 571 m
Step 4:	6 units	= 6 x 571 m
		= 3426 m

The entire track was 3426 m long.

10)

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $180, how much did he have at first

Answer: $720

SOLUTION 1 :

Food

Transport

$180 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	= $180
	1 unit	= $180 ÷ 3
		= 60
Step 4:	12 units	= 12 x 60
		= $720

He have $720 at first.