Sasi Math (Revised for 1024)

Scroll:Fractions >> Four Operations of Fractions >> ps (1205)

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.

Chellamal had a piece of ribbon 672 cm long.

She cut out $\frac{1}{2}$ of it for Amutha and used $\frac{1}{8}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer:_______________

Savithri has a piece of string 632 cm long.

She cut out $\frac{1}{2}$ of it for Ovini and used $\frac{1}{4}$ of it for her craft work.

How many centimeters of the string were left

Answer:_______________

Nandini baked 306 muffins.

She sold $\frac{1}{3}$ of them and donated $\frac{4}{9}$ of them to an orphanage.

How many muffins did she have left

Answer:_______________

Raj baked 352 muffins.

He sold $\frac{1}{2}$ of them and donated $\frac{3}{8}$ of them to an orphanage.

How many muffins did he have left

Answer:_______________

Mdm Seah has a piece of ribbon 624 cm long.

She cut out $\frac{1}{3}$ of it for Ruby and used $\frac{1}{6}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer:_______________

Poovazhagi had a piece of ribbon 992 cm long.

She cut out $\frac{1}{2}$ of it for Keerthi and used $\frac{1}{8}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer:_______________

Thamarai has a piece of string 120 cm long.

She cut out $\frac{1}{2}$ of it for Chithra and used $\frac{1}{4}$ of it for her craft work.

How many centimeters of the string were left

Answer:_______________

Poovazhagi baked 540 muffins.

She sold $\frac{1}{3}$ of them and donated $\frac{4}{9}$ of them to an orphanage.

How many muffins did she have left

Answer:_______________

Moorthi baked 192 muffins.

He sold $\frac{1}{2}$ of them and donated $\frac{3}{8}$ of them to an orphanage.

How many muffins did he have left

Answer:_______________

10)

Mdm Seah has a piece of ribbon 264 cm long.

She cut out $\frac{1}{3}$ of it for Ruby and used $\frac{1}{6}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer:_______________

Chellamal had a piece of ribbon 672 cm long.

She cut out $\frac{1}{2}$ of it for Amutha and used $\frac{1}{8}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer: 252 cm

SOLUTION 1 :

Amutha

Craft

left

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

= $\frac{5}{8}$

Step 2: 8 units = 672 cm

Step 3: 1 unit = 672 ÷ 8

= 84 cm

Step 4: 3 units = 3 x 84 cm

= 252 cm

252 cm of the ribbon were left.

Savithri has a piece of string 632 cm long.

She cut out $\frac{1}{2}$ of it for Ovini and used $\frac{1}{4}$ of it for her craft work.

How many centimeters of the string were left

Answer: 158 cm

SOLUTION 1 :

Ovini

Craft

cm left

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

= $\frac{3}{4}$

Step 2: 4 units = 632 cm

Step 3: 1 unit = 632 ÷ 4

= 158 cm

158 cm of the ribbon were left.

Nandini baked 306 muffins.

She sold $\frac{1}{3}$ of them and donated $\frac{4}{9}$ of them to an orphanage.

How many muffins did she have left

Answer: 68

SOLUTION 1 :

Sold

Donate

left

306

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: 9 units = 306

1 unit = 306 ÷ 9

= 34

Step 4: 2 units = 2 x 34

= 68

She had 68 muffins left.

Raj baked 352 muffins.

He sold $\frac{1}{2}$ of them and donated $\frac{3}{8}$ of them to an orphanage.

How many muffins did he have left

Answer: 44

SOLUTION 1 :

Sold

Donate

left

352

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: 8 units = 352

1 unit = 352 ÷ 8

= 44

He had 44 muffins left.

Mdm Seah has a piece of ribbon 624 cm long.

She cut out $\frac{1}{3}$ of it for Ruby and used $\frac{1}{6}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer: 312 cm

SOLUTION 1 :

Ruby

Craft

left

Step 1: $\frac{1 x 2}{3 x 2}$ + $\frac{1}{6}$ = $\frac{2}{6}$ + $\frac{1}{6}$

= $\frac{3}{6}$

Step 2: 6 units = 624 cm

Step 3: 1 unit = 624 ÷ 6

= 104 cm

Step 4: 3 units = 3 x 104

= 312 cm

312 cm of the ribbon were left.

Poovazhagi had a piece of ribbon 992 cm long.

She cut out $\frac{1}{2}$ of it for Keerthi and used $\frac{1}{8}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer: 372 cm

SOLUTION 1 :

Keerthi

Craft

left

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

= $\frac{5}{8}$

Step 2: 8 units = 992 cm

Step 3: 1 unit = 992 ÷ 8

= 124 cm

Step 4: 3 units = 3 x 124 cm

= 372 cm

372 cm of the ribbon were left.

Thamarai has a piece of string 120 cm long.

She cut out $\frac{1}{2}$ of it for Chithra and used $\frac{1}{4}$ of it for her craft work.

How many centimeters of the string were left

Answer: 30 cm

SOLUTION 1 :

Chithra

Craft

cm left

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

= $\frac{3}{4}$

Step 2: 4 units = 120 cm

Step 3: 1 unit = 120 ÷ 4

= 30 cm

30 cm of the ribbon were left.

Poovazhagi baked 540 muffins.

She sold $\frac{1}{3}$ of them and donated $\frac{4}{9}$ of them to an orphanage.

How many muffins did she have left

Answer: 120

SOLUTION 1 :

Sold

Donate

left

540

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: 9 units = 540

1 unit = 540 ÷ 9

= 60

Step 4: 2 units = 2 x 60

= 120

She had 120 muffins left.

Moorthi baked 192 muffins.

He sold $\frac{1}{2}$ of them and donated $\frac{3}{8}$ of them to an orphanage.

How many muffins did he have left

Answer: 24

SOLUTION 1 :

Sold

Donate

left

192

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: 8 units = 192

1 unit = 192 ÷ 8

= 24

He had 24 muffins left.

10)

Mdm Seah has a piece of ribbon 264 cm long.

She cut out $\frac{1}{3}$ of it for Ruby and used $\frac{1}{6}$ of it for her craft work.

How many centimeters of the ribbon were left

Answer: 132 cm

SOLUTION 1 :

Ruby

Craft

left

Step 1: $\frac{1 x 2}{3 x 2}$ + $\frac{1}{6}$ = $\frac{2}{6}$ + $\frac{1}{6}$

= $\frac{3}{6}$

Step 2: 6 units = 264 cm

Step 3: 1 unit = 264 ÷ 6

= 44 cm

Step 4: 3 units = 3 x 44

= 132 cm

132 cm of the ribbon were left.