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

how long was the original string

Answer:_______________

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $60,

how much money 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 64 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 $105, 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 $440 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 3651 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 3216 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 370 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 1656 m of the track is painted grey,

how long is the entire track

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 188 pies,

how many pies did he bake at first

Answer:_______________

how long was the original string

Answer: 312 cm

SOLUTION 1 :

Present

Deco

195 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	= 195 cm
	1 unit	= 195 ÷ 5
		= 39 cm
Step 4:	8 units	= 8 x 39
		= 312 cm

The original string was 312 cm.

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $60,

how much money did he have at first

Answer: $140

SOLUTION 1 :

Goggles

Swimsuit

Left

Step 1: $\frac{1}{7}$ + $\frac{3}{7}$ = $\frac{4}{7}$

Step 2: $\frac{7}{7}$ - $\frac{4}{7}$ = $\frac{3}{7}$

Step 3:	3 units	= $60
	1 unit	= $60 ÷ 3
		= $20
Step 4:	7 units	= 7 x $20
		= $140

He had $140 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 64 stamps left, how many stamps did Joe have at first

Answer: 288

SOLUTION 1 :

Sibling

Friends

64 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	= 64
	1 unit	= 64 ÷ 2
		= 32
Step 4:	9 units	= 9 x 32
		= 288

He have 288 stamps at first.

Nicholas spent $\frac{1}{3}$ of his salary on food and $\frac{5}{12}$ on transport. If he is left with $105, how much did he have at first

Answer: $420

SOLUTION 1 :

Food

Transport

$105 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	= $105
	1 unit	= $105 ÷ 3
		= 35
Step 4:	12 units	= 12 x 35
		= $420

He have $420 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 $440 for himself.

How much was his salary

Answer: $1100

SOLUTION 1 :

Bills

Brother

$440 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	= $440
	1 unit	= $440 ÷ 4
		= $110
Step 4:	10 units	= 10 x $110
		= $1100

His salary was $1100.

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 3651 m of the track is painted grey,

how long is the entire track

Answer: 7302 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	= 3651 m
	1 unit	= 3651 m ÷ 3
		= 1217 m
Step 4:	6 units	= 6 x 1217 m
		= 7302 m

The entire track was 7302 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 3216 m of the track is painted grey,

how long is the entire track

Answer: 8576 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	= 3216 m
	1 unit	= 3216 m ÷ 3
		= 1072 m
Step 4:	8 units	= 8 x 1072 m
		= 8576 m

The entire track was 8576 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 370 apples,

how many apples did he have at first

Answer: 1110

SOLUTION 1 :

A.M.

P.M.

370 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	= 370
	1 unit	= 370 ÷ 2
		= 185
Step 4:	6 units	= 6 x 185
		= 1110

He had 1110 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 1656 m of the track is painted grey,

how long is the entire track

Answer: 4416 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	= 1656 m
	1 unit	= 1656 m ÷ 3
		= 552 m
Step 4:	8 units	= 8 x 552 m
		= 4416 m

The entire track was 4416 m long.

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 188 pies,

how many pies did he bake at first

Answer: 282

SOLUTION 1 :

Neighbour

Aunt

188 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	= 188
	1 unit	= 188 ÷ 4
		= 47
Step 4:	6 units	= 6 x 47
		= 282

He baked 282 pies at first.