Sasi Math (Revised for 1024)

Scroll:Fraction >> 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 $111 for himself.

How much was his salary

$ ___

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 448 apples,

how many apples did he 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 3141 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 $696 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 285 apples,

how many apples did he have at first

Answer:_______________

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2985 m of the track is painted grey,

how long is the entire track

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 108 pies,

how many pies did he bake at first

Answer:_______________

James used $\frac{1}{4}$ of a roll of string to tie a present. He then used $\frac{1}{8}$ of the string to make decorations for a birthday party. Given that he was left with 335 cm of the string after tying the present and making the decorations,

how long was the original string

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 1333 m of the track is painted grey,

how long is the entire track

Answer:_______________

10)

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 597 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 $111 for himself.

How much was his salary

Answer: $296

SOLUTION 1 :

Bills

Brother

$111 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	= $111
	1 unit	= $111 ÷ 3
		= $37
Step 4:	8 units	= 8 x $37
		= $296

His salary was $296.

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 448 apples,

how many apples did he have at first

Answer: 1344

SOLUTION 1 :

A.M.

P.M.

448 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	= 448
	1 unit	= 448 ÷ 2
		= 224
Step 4:	6 units	= 6 x 224
		= 1344

He had 1344 apples 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 3141 m of the track is painted grey,

how long is the entire track

Answer: 6282 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	= 3141 m
	1 unit	= 3141 m ÷ 3
		= 1047 m
Step 4:	6 units	= 6 x 1047 m
		= 6282 m

The entire track was 6282 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 $696 for himself.

How much was his salary

Answer: $1740

SOLUTION 1 :

Bills

Brother

$696 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	= $696
	1 unit	= $696 ÷ 4
		= $174
Step 4:	10 units	= 10 x $174
		= $1740

His salary was $1740.

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 285 apples,

how many apples did he have at first

Answer: 570

SOLUTION 1 :

A.M.

P.M.

285 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	= 285
	1 unit	= 285 ÷ 3
		= 95
Step 4:	6 units	= 6 x 95
		= 570

He had 570 apples at first.

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 2985 m of the track is painted grey,

how long is the entire track

Answer: 7960 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	= 2985 m
	1 unit	= 2985 m ÷ 3
		= 995 m
Step 4:	8 units	= 8 x 995 m
		= 7960 m

The entire track was 7960 m long.

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 108 pies,

how many pies did he bake at first

Answer: 162

SOLUTION 1 :

Neighbour

Aunt

108 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	= 108
	1 unit	= 108 ÷ 4
		= 27
Step 4:	6 units	= 6 x 27
		= 162

He baked 162 pies at first.

how long was the original string

Answer: 536 cm

SOLUTION 1 :

Present

Deco

335 cm left

Step 1: $\frac{1 x 2}{4 x 2}$ + $\frac{1}{8}$ = $\frac{2}{8}$ + $\frac{1}{8}$

= $\frac{3}{8}$

Step 2: $\frac{8}{8}$ - $\frac{3}{8}$ = $\frac{5}{8}$

Step 3:	5 units	= 335 cm
	1 unit	= 335 ÷ 5
		= 67 cm
Step 4:	8 units	= 8 x 67
		= 536 cm

The original string was 536 cm.

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 1333 m of the track is painted grey,

how long is the entire track

Answer: 10664 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	= 1333 m
	8 units	= 8 x 1333 m
		= 10664 m

The entire track was 10664 m long.

10)

$\frac{1}{2}$ of a running track is painted red. $\frac{1}{8}$ of the track is painted yellow. Given that the remaining 597 m of the track is painted grey,

how long is the entire track

Answer: 1592 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	= 597 m
	1 unit	= 597 m ÷ 3
		= 199 m
Step 4:	8 units	= 8 x 199 m
		= 1592 m

The entire track was 1592 m long.