Sasi Math (Revised for 1024)

Scroll:Fractions >> Addition >> ps (3036)

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.

$\frac{2}{5}$ of a box of pastries are cupcakes. $\frac{1}{5}$ of the same box of pastries are muffins and the rest are pancakes. There are 114 pancakes.

a) What fraction of the box of pastries are pancakes Express your answer in the simplest form.

b) How many pastries are muffins

Answer:_______________

$\frac{1}{8}$ of a box of balloons are red. $\frac{3}{8}$ of the same box of balloons are blue and the rest are green. There are 132 green balloons.

a) What fraction of the balloons are green Express your answer in the simplest form.

b) How many balloons are blue

Answer:_______________

Kumutha has to deliver a certain amounts of pizza. $\frac{1}{11}$ of them have to be delivered to Hougang Avenue 1 and $\frac{4}{11}$ of the pizzas have to be delivered to Hougang Avenue 2. The rest of them have to be delivered to Hougang Avenue 3.

a) What fraction of the pizzas have to be delivered to Hougang Avenue 3 Express your answer in the simplest form.

b) 96 pizzas were given to Kumutha to delivered to Hougang Avenue 3. How many pizzas have to be delivered to Hougang Avenue 2

Answer:_______________

There are a certain number of pupils in a school. $\frac{3}{7}$ of them likes English and $\frac{2}{7}$ of them likes Math. The rest of them likes Science.

a) What fraction of the school likes Science Express your answer in the simplest form.

b) There are 266 pupils in the school. How many pupils likes Science

Answer:_______________

There are painted fences along the side of a road. $\frac{1}{12}$ of them are painted red. $\frac{5}{12}$ of them are painted purple, and the rest are painted yellow.

a) What fraction of the fences are painted yellow Express your answer in the simplest form.

b) If 222 of the fences are yellow, how many fences are there in all

Answer:_______________

Barathan spent $\frac{3}{6}$ of his money on a suit and $\frac{1}{6}$ of his money on some pie. He is left with $2296.

a) What fraction of his money did he have left Express your answer in the simplest form.

b) How much money did he spend on suit

$ ___

Answer:_______________

$\frac{2}{5}$ of a box of pastries are cupcakes. $\frac{1}{5}$ of the same box of pastries are muffins and the rest are pancakes. There are 378 pancakes.

a) What fraction of the box of pastries are pancakes Express your answer in the simplest form.

b) How many pastries are muffins

Answer:_______________

$\frac{1}{8}$ of a box of balloons are red. $\frac{3}{8}$ of the same box of balloons are blue and the rest are green. There are 352 green balloons.

a) What fraction of the balloons are green Express your answer in the simplest form.

b) How many balloons are blue

Answer:_______________

Poovazhagi has to deliver a certain amounts of pizza. $\frac{1}{11}$ of them have to be delivered to Hougang Avenue 1 and $\frac{4}{11}$ of the pizzas have to be delivered to Hougang Avenue 2. The rest of them have to be delivered to Hougang Avenue 3.

a) What fraction of the pizzas have to be delivered to Hougang Avenue 3 Express your answer in the simplest form.

b) 54 pizzas were given to Poovazhagi to delivered to Hougang Avenue 3. How many pizzas have to be delivered to Hougang Avenue 2

Answer:_______________

10)

There are a certain number of pupils in a school. $\frac{3}{7}$ of them likes English and $\frac{2}{7}$ of them likes Math. The rest of them likes Science.

a) What fraction of the school likes Science Express your answer in the simplest form.

b) There are 238 pupils in the school. How many pupils likes Science

Answer:_______________

$\frac{2}{5}$ of a box of pastries are cupcakes. $\frac{1}{5}$ of the same box of pastries are muffins and the rest are pancakes. There are 114 pancakes.

a) What fraction of the box of pastries are pancakes Express your answer in the simplest form.

Answer: $\frac{2}{5}$

b) How many pastries are muffins

Answer: 57

SOLUTION 1 :

Cupcake

Muffin

Pancake

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

= $\frac{1}{2}$

Step 2: 1 - $\frac{1}{2}$ = $\frac{1}{2}$

$\frac{1}{2}$ of pastries are pancakes.

Step 3: 3 units	= 114
Step 4: 1 unit	= 114 ÷ 3
	= 57

There are 57 muffins.

$\frac{1}{8}$ of a box of balloons are red. $\frac{3}{8}$ of the same box of balloons are blue and the rest are green. There are 132 green balloons.

a) What fraction of the balloons are green Express your answer in the simplest form.

Answer: $\frac{1}{2}$

b) How many balloons are blue

Answer: 99

SOLUTION 1 :

Red

Blue

a) Step 1: $\frac{1}{8}$ + $\frac{3}{8}$ = $\frac{4}{8}$

Step 2: $\frac{8}{8}$ - $\frac{4}{8}$ = $\frac{4}{8}$

= $\frac{1}{2}$

$\frac{1}{2}$ of the balloons are green.

Step 3: 4 units	= 132
Step 4: 1 unit	= 132 ÷ 4
	= 33
Step 5: 3 units	= 3 x 33
	= 99

99 of the balloons are blue.

a) What fraction of the pizzas have to be delivered to Hougang Avenue 3 Express your answer in the simplest form.

Answer: $\frac{6}{11}$

b) 96 pizzas were given to Kumutha to delivered to Hougang Avenue 3. How many pizzas have to be delivered to Hougang Avenue 2

Answer: 64

SOLUTION 1 :

Ave. 1

Ave. 2

Ave. 3

a) Step 1: $\frac{1}{11}$ + $\frac{4}{11}$ = $\frac{5}{11}$

Step 2: $\frac{11}{11}$ - $\frac{5}{11}$ = $\frac{6}{11}$

$\frac{6}{11}$ of the pizzas have to be delivered to Hougang Avenue 3.

Step 3:	6 units	= 96
	1 unit	= 96 ÷ 6
		= 16
Step 4:	4 units	= 4 x 16
		= 64

64 pizzas have to be delivered to Hougang Avenue 2.

There are a certain number of pupils in a school. $\frac{3}{7}$ of them likes English and $\frac{2}{7}$ of them likes Math. The rest of them likes Science.

a) What fraction of the school likes Science Express your answer in the simplest form.

Answer: $\frac{2}{7}$

b) There are 266 pupils in the school. How many pupils likes Science

Answer: 76

SOLUTION 1 :

Pupils

English

Maths

Science

a) Step 1: $\frac{3}{7}$ + $\frac{2}{7}$ = $\frac{5}{7}$

Step 2: $\frac{7}{7}$ - $\frac{5}{7}$ = $\frac{2}{7}$

$\frac{2}{7}$ of the school like Science.

Step 3:	7 units	= 266
	1 unit	= 266 ÷ 7
		= 38
Step 4:	2 unit	= 2 x 38
		= 76

76 pupils likes Science.

There are painted fences along the side of a road. $\frac{1}{12}$ of them are painted red. $\frac{5}{12}$ of them are painted purple, and the rest are painted yellow.

a) What fraction of the fences are painted yellow Express your answer in the simplest form.

Answer: $\frac{1}{2}$

b) If 222 of the fences are yellow, how many fences are there in all

Answer: 444

SOLUTION 1 :

Red

Purple

Yellow

a) Step 1: $\frac{1}{12}$ + $\frac{5}{12}$ = $\frac{6}{12}$

Step 2: $\frac{12}{12}$ - $\frac{6}{12}$ = $\frac{6}{12}$

= $\frac{1}{2}$

$\frac{1}{2}$ of the fences were painted yellow.

Step 3:	6 units	= 222
	1 unit	= 222 ÷ 6
		= 37
Step 4:	12 units	= 12 x 37
		= 444

There are 444 fences in all.

Barathan spent $\frac{3}{6}$ of his money on a suit and $\frac{1}{6}$ of his money on some pie. He is left with $2296.

a) What fraction of his money did he have left Express your answer in the simplest form.

Answer: $\frac{1}{3}$

b) How much money did he spend on suit

Answer: $3444

SOLUTION 1 :

Pupils

Suit

Pie

Left

a) Step 1: $\frac{1 x 3}{2 x 3}$ - $\frac{1}{6}$ = $\frac{4}{6}$

= $\frac{2}{3}$

Step 2: 1 - $\frac{2}{3}$ = $\frac{1}{3}$

He left $\frac{1}{3}$ of his money.

Step 3:	2 units	= $2296
	1 unit	= $2296 ÷ 2
		= $1148
Step 4:	3 units	= 3 x $1148
		= $3444

He spend $3444 on suit.

$\frac{2}{5}$ of a box of pastries are cupcakes. $\frac{1}{5}$ of the same box of pastries are muffins and the rest are pancakes. There are 378 pancakes.

a) What fraction of the box of pastries are pancakes Express your answer in the simplest form.

Answer: $\frac{2}{5}$

b) How many pastries are muffins

Answer: 189

SOLUTION 1 :

Cupcake

Muffin

Pancake

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

= $\frac{1}{2}$

Step 2: 1 - $\frac{1}{2}$ = $\frac{1}{2}$

$\frac{1}{2}$ of pastries are pancakes.

Step 3: 3 units	= 378
Step 4: 1 unit	= 378 ÷ 3
	= 189

There are 189 muffins.

$\frac{1}{8}$ of a box of balloons are red. $\frac{3}{8}$ of the same box of balloons are blue and the rest are green. There are 352 green balloons.

a) What fraction of the balloons are green Express your answer in the simplest form.

Answer: $\frac{1}{2}$

b) How many balloons are blue

Answer: 264

SOLUTION 1 :

Red

Blue

a) Step 1: $\frac{1}{8}$ + $\frac{3}{8}$ = $\frac{4}{8}$

Step 2: $\frac{8}{8}$ - $\frac{4}{8}$ = $\frac{4}{8}$

= $\frac{1}{2}$

$\frac{1}{2}$ of the balloons are green.

Step 3: 4 units	= 352
Step 4: 1 unit	= 352 ÷ 4
	= 88
Step 5: 3 units	= 3 x 88
	= 264

264 of the balloons are blue.

a) What fraction of the pizzas have to be delivered to Hougang Avenue 3 Express your answer in the simplest form.

Answer: $\frac{6}{11}$

b) 54 pizzas were given to Poovazhagi to delivered to Hougang Avenue 3. How many pizzas have to be delivered to Hougang Avenue 2

Answer: 36

SOLUTION 1 :

Ave. 1

Ave. 2

Ave. 3

a) Step 1: $\frac{1}{11}$ + $\frac{4}{11}$ = $\frac{5}{11}$

Step 2: $\frac{11}{11}$ - $\frac{5}{11}$ = $\frac{6}{11}$

$\frac{6}{11}$ of the pizzas have to be delivered to Hougang Avenue 3.

Step 3:	6 units	= 54
	1 unit	= 54 ÷ 6
		= 9
Step 4:	4 units	= 4 x 9
		= 36

36 pizzas have to be delivered to Hougang Avenue 2.

10)

There are a certain number of pupils in a school. $\frac{3}{7}$ of them likes English and $\frac{2}{7}$ of them likes Math. The rest of them likes Science.

a) What fraction of the school likes Science Express your answer in the simplest form.

Answer: $\frac{2}{7}$

b) There are 238 pupils in the school. How many pupils likes Science

Answer: 68

SOLUTION 1 :

Pupils

English

Maths

Science

a) Step 1: $\frac{3}{7}$ + $\frac{2}{7}$ = $\frac{5}{7}$

Step 2: $\frac{7}{7}$ - $\frac{5}{7}$ = $\frac{2}{7}$

$\frac{2}{7}$ of the school like Science.

Step 3:	7 units	= 238
	1 unit	= 238 ÷ 7
		= 34
Step 4:	2 unit	= 2 x 34
		= 68

68 pupils likes Science.