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.

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 255 cm of the string after tying the present and making the decorations,

how long was the original string

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 $66,

how much money did he have at first

$ ___

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 $570 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 68 stamps left, how many stamps did Joe 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 $54, how much 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 $531 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 168 apples,

how many apples 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 $532 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 3669 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. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 487 m of the track is painted grey,

how long is the entire track

Answer:_______________

how long was the original string

Answer: 408 cm

SOLUTION 1 :

Present

Deco

255 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	= 255 cm
	1 unit	= 255 ÷ 5
		= 51 cm
Step 4:	8 units	= 8 x 51
		= 408 cm

The original string was 408 cm.

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 $66,

how much money did he have at first

Answer: $132

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $66
	1 unit	= $66 ÷ 6
		= $11
Step 2:	12 units	= 12 x $11
		= $132

He had $132 at first.

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 $570 for himself.

How much was his salary

Answer: $4560

SOLUTION 1 :

Bills

Brother

$570 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	= $570
Step 4:	8 units	= 8 x $570
		= $4560

His salary was $4560.

Joe gave $\frac{1}{3}$ of his stamps to his sibling and $\frac{4}{9}$ of them to some friends.
If Joe had 68 stamps left, how many stamps did Joe have at first

Answer: 306

SOLUTION 1 :

Sibling

Friends

68 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	= 68
	1 unit	= 68 ÷ 2
		= 34
Step 4:	9 units	= 9 x 34
		= 306

He have 306 stamps at first.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $54, how much did he have at first

Answer: $216

SOLUTION 1 :

Food

Transport

$54 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	= $54
	1 unit	= $54 ÷ 3
		= 18
Step 4:	12 units	= 12 x 18
		= $216

He have $216 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 $531 for himself.

How much was his salary

Answer: $1416

SOLUTION 1 :

Bills

Brother

$531 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	= $531
	1 unit	= $531 ÷ 3
		= $177
Step 4:	8 units	= 8 x $177
		= $1416

His salary was $1416.

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 168 apples,

how many apples did he have at first

Answer: 504

SOLUTION 1 :

A.M.

P.M.

168 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	= 168
	1 unit	= 168 ÷ 2
		= 84
Step 4:	6 units	= 6 x 84
		= 504

He had 504 apples 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 $532 for himself.

How much was his salary

Answer: $1330

SOLUTION 1 :

Bills

Brother

$532 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	= $532
	1 unit	= $532 ÷ 4
		= $133
Step 4:	10 units	= 10 x $133
		= $1330

His salary was $1330.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 3669 m of the track is painted grey,

how long is the entire track

Answer: 7338 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	= 3669 m
	1 unit	= 3669 m ÷ 3
		= 1223 m
Step 4:	6 units	= 6 x 1223 m
		= 7338 m

The entire track was 7338 m long.

10)

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 487 m of the track is painted grey,

how long is the entire track

Answer: 3896 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	= 487 m
	8 units	= 8 x 487 m
		= 3896 m

The entire track was 3896 m long.