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.

$\frac{1}{8}$ 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 480 green balloons.

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

b) How many balloons are blue

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.

b) How many pastries are muffins

Answer:_______________

Indra 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) 90 pizzas were given to Indra 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 378 pupils in the school. How many pupils likes Science

Answer:_______________

Kumar spent $\frac{3}{6}$ of his money on a suit and $\frac{1}{6}$ of his money on some pie. He is left with $1676.

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:_______________

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 228 of the fences are yellow, how many fences are there in all

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 100 green balloons.

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

b) How many balloons are blue

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 288 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:_______________

Tulasi 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 Tulasi 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 420 pupils in the school. How many pupils likes Science

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 480 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: 360

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	= 480
Step 4: 1 unit	= 480 ÷ 4
	= 120
Step 5: 3 units	= 3 x 120
	= 360

360 of the balloons are blue.

$\frac{2}{5}$ 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.

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) 90 pizzas were given to Indra to delivered to Hougang Avenue 3. How many pizzas have to be delivered to Hougang Avenue 2

Answer: 60

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	= 90
	1 unit	= 90 ÷ 6
		= 15
Step 4:	4 units	= 4 x 15
		= 60

60 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 378 pupils in the school. How many pupils likes Science

Answer: 108

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	= 378
	1 unit	= 378 ÷ 7
		= 54
Step 4:	2 unit	= 2 x 54
		= 108

108 pupils likes Science.

Kumar spent $\frac{3}{6}$ of his money on a suit and $\frac{1}{6}$ of his money on some pie. He is left with $1676.

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: $2514

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	= $1676
	1 unit	= $1676 ÷ 2
		= $838
Step 4:	3 units	= 3 x $838
		= $2514

He spend $2514 on suit.

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 228 of the fences are yellow, how many fences are there in all

Answer: 456

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	= 228
	1 unit	= 228 ÷ 6
		= 38
Step 4:	12 units	= 12 x 38
		= 456

There are 456 fences in all.

$\frac{1}{8}$ 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 100 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: 75

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	= 100
Step 4: 1 unit	= 100 ÷ 4
	= 25
Step 5: 3 units	= 3 x 25
	= 75

75 of the balloons are blue.

$\frac{2}{5}$ 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 288 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: 144

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	= 288
Step 4: 1 unit	= 288 ÷ 3
	= 144

There are 144 muffins.

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 Tulasi 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 420 pupils in the school. How many pupils likes Science

Answer: 120

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	= 420
	1 unit	= 420 ÷ 7
		= 60
Step 4:	2 unit	= 2 x 60
		= 120

120 pupils likes Science.