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.

$\frac{1}{4}$ of a running track is painted red. $\frac{3}{8}$ 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:_______________

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 315 apples,

how many apples 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 1347 m of the track is painted grey,

how long is the entire track

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 $54,

how much money 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 2251 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 218 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 $54, how much did he have at first

$ ___

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 $48,

how much money did he have 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 30 cm of the string after tying the present and making the decorations,

how long was the original string

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 68 pies,

how many pies did he bake 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 3669 m of the track is painted grey,

how long is the entire track

Answer: 9784 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	= 3669 m
	1 unit	= 3669 m ÷ 3
		= 1223 m
Step 4:	8 units	= 8 x 1223 m
		= 9784 m

The entire track was 9784 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 315 apples,

how many apples did he have at first

Answer: 630

SOLUTION 1 :

A.M.

P.M.

315 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	= 315
	1 unit	= 315 ÷ 3
		= 105
Step 4:	6 units	= 6 x 105
		= 630

He had 630 apples 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 1347 m of the track is painted grey,

how long is the entire track

Answer: 3592 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	= 1347 m
	1 unit	= 1347 m ÷ 3
		= 449 m
Step 4:	8 units	= 8 x 449 m
		= 3592 m

The entire track was 3592 m long.

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 $54,

how much money did he have at first

Answer: $108

SOLUTION 1 :

Glasses

Left

* = Swimsuit

Step 1:	6 units	= $54
	1 unit	= $54 ÷ 6
		= $9
Step 2:	12 units	= 12 x $9
		= $108

He had $108 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 2251 m of the track is painted grey,

how long is the entire track

Answer: 18008 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	= 2251 m
	8 units	= 8 x 2251 m
		= 18008 m

The entire track was 18008 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 218 apples,

how many apples did he have at first

Answer: 654

SOLUTION 1 :

A.M.

P.M.

218 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	= 218
	1 unit	= 218 ÷ 2
		= 109
Step 4:	6 units	= 6 x 109
		= 654

He had 654 apples 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.

Haru spent $\frac{1}{7}$ of his money on goggles and $\frac{3}{7}$ of his money on swimwear. If he was left with $48,

how much money did he have at first

Answer: $112

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	= $48
	1 unit	= $48 ÷ 3
		= $16
Step 4:	7 units	= 7 x $16
		= $112

He had $112 at first.

how long was the original string

Answer: 48 cm

SOLUTION 1 :

Present

Deco

30 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	= 30 cm
	1 unit	= 30 ÷ 5
		= 6 cm
Step 4:	8 units	= 8 x 6
		= 48 cm

The original string was 48 cm.

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 68 pies,

how many pies did he bake at first

Answer: 102

SOLUTION 1 :

Neighbour

Aunt

68 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	= 68
	1 unit	= 68 ÷ 4
		= 17
Step 4:	6 units	= 6 x 17
		= 102

He baked 102 pies at first.