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.

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 262 m of the track is painted grey,

how long is the entire track

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 309 apples,

how many apples 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 $945 for himself.

How much was his salary

$ ___

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 92 pies,

how many pies did he bake 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 $484 for himself.

How much was his salary

$ ___

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 $480 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 482 apples,

how many apples did he have at first

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 $78,

how much money did he 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 1848 m of the track is painted grey,

how long is the entire track

Answer:_______________

10)

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 2580 m of the track is painted grey,

how long is the entire track

Answer:_______________

$\frac{1}{2}$ of a running track is painted red. $\frac{3}{8}$ of the track is painted yellow. Given that the remaining 262 m of the track is painted grey,

how long is the entire track

Answer: 2096 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	= 262 m
	8 units	= 8 x 262 m
		= 2096 m

The entire track was 2096 m long.

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 309 apples,

how many apples did he have at first

Answer: 618

SOLUTION 1 :

A.M.

P.M.

309 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	= 309
	1 unit	= 309 ÷ 3
		= 103
Step 4:	6 units	= 6 x 103
		= 618

He had 618 apples 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 $945 for himself.

How much was his salary

Answer: $2520

SOLUTION 1 :

Bills

Brother

$945 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	= $945
	1 unit	= $945 ÷ 3
		= $315
Step 4:	8 units	= 8 x $315
		= $2520

His salary was $2520.

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 92 pies,

how many pies did he bake at first

Answer: 138

SOLUTION 1 :

Neighbour

Aunt

92 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	= 92
	1 unit	= 92 ÷ 4
		= 23
Step 4:	6 units	= 6 x 23
		= 138

He baked 138 pies 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 $484 for himself.

How much was his salary

Answer: $1210

SOLUTION 1 :

Bills

Brother

$484 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	= $484
	1 unit	= $484 ÷ 4
		= $121
Step 4:	10 units	= 10 x $121
		= $1210

His salary was $1210.

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 $480 for himself.

How much was his salary

Answer: $3840

SOLUTION 1 :

Bills

Brother

$480 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	= $480
Step 4:	8 units	= 8 x $480
		= $3840

His salary was $3840.

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 482 apples,

how many apples did he have at first

Answer: 1446

SOLUTION 1 :

A.M.

P.M.

482 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	= 482
	1 unit	= 482 ÷ 2
		= 241
Step 4:	6 units	= 6 x 241
		= 1446

He had 1446 apples at first.

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 $78,

how much money did he have at first

Answer: $156

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $78
	1 unit	= $78 ÷ 6
		= $13
Step 2:	12 units	= 12 x $13
		= $156

He had $156 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 1848 m of the track is painted grey,

how long is the entire track

Answer: 4928 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	= 1848 m
	1 unit	= 1848 m ÷ 3
		= 616 m
Step 4:	8 units	= 8 x 616 m
		= 4928 m

The entire track was 4928 m long.

10)

$\frac{1}{3}$ of a running track is painted red. $\frac{1}{6}$ of the track is painted yellow. Given that the remaining 2580 m of the track is painted grey,

how long is the entire track

Answer: 5160 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	= 2580 m
	1 unit	= 2580 m ÷ 3
		= 860 m
Step 4:	6 units	= 6 x 860 m
		= 5160 m

The entire track was 5160 m long.