Sasi Math (Revised for 1024)

Scroll:Fractions >> Model Approach >> 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 $\frac{3}{8}$ of his salary to his brother. In the end, he was left with $777 for himself.

How much was his salary

$ ___

Answer:_______________

Joe gave $\frac{1}{3}$ of his stamps to his sibling and $\frac{4}{9}$ of them to some friends.
If Joe had 38 stamps left, how many stamps did Joe 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 462 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 1496 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 3996 m of the track is painted grey,

how long is the entire track

Answer:_______________

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 3708 m of the track is painted grey,

how long is the entire track

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 290 apples,

how many apples 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 $180, how much 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 $552 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 56 pies,

how many pies did he bake 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 $777 for himself.

How much was his salary

Answer: $2072

SOLUTION 1 :

Bills

Brother

$777 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	= $777
	1 unit	= $777 ÷ 3
		= $259
Step 4:	8 units	= 8 x $259
		= $2072

His salary was $2072.

Joe gave $\frac{1}{3}$ of his stamps to his sibling and $\frac{4}{9}$ of them to some friends.
If Joe had 38 stamps left, how many stamps did Joe have at first

Answer: 171

SOLUTION 1 :

Sibling

Friends

38 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	= 38
	1 unit	= 38 ÷ 2
		= 19
Step 4:	9 units	= 9 x 19
		= 171

He have 171 stamps 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 462 apples,

how many apples did he have at first

Answer: 924

SOLUTION 1 :

A.M.

P.M.

462 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	= 462
	1 unit	= 462 ÷ 3
		= 154
Step 4:	6 units	= 6 x 154
		= 924

He had 924 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 1496 m of the track is painted grey,

how long is the entire track

Answer: 11968 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	= 1496 m
	8 units	= 8 x 1496 m
		= 11968 m

The entire track was 11968 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 3996 m of the track is painted grey,

how long is the entire track

Answer: 10656 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	= 3996 m
	1 unit	= 3996 m ÷ 3
		= 1332 m
Step 4:	8 units	= 8 x 1332 m
		= 10656 m

The entire track was 10656 m long.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 3708 m of the track is painted grey,

how long is the entire track

Answer: 7416 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	= 3708 m
	1 unit	= 3708 m ÷ 3
		= 1236 m
Step 4:	6 units	= 6 x 1236 m
		= 7416 m

The entire track was 7416 m long.

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 290 apples,

how many apples did he have at first

Answer: 870

SOLUTION 1 :

A.M.

P.M.

290 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	= 290
	1 unit	= 290 ÷ 2
		= 145
Step 4:	6 units	= 6 x 145
		= 870

He had 870 apples at first.

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.

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 $552 for himself.

How much was his salary

Answer: $1380

SOLUTION 1 :

Bills

Brother

$552 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	= $552
	1 unit	= $552 ÷ 4
		= $138
Step 4:	10 units	= 10 x $138
		= $1380

His salary was $1380.

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 56 pies,

how many pies did he bake at first

Answer: 84

SOLUTION 1 :

Neighbour

Aunt

56 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	= 56
	1 unit	= 56 ÷ 4
		= 14
Step 4:	6 units	= 6 x 14
		= 84

He baked 84 pies at first.