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Class A had 1/3 the number of pupils in Class B. After 14 pupils were transferred from Class B to Class A, Class A had 4/5 the number of pupils in Class B. How many pupils were there in Class A at first?

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A factory produces twice as many blue chairs as red chairs. After selling 42 blue chairs and 42 red chairs, the number of blue chairs left is three times the number of red chairs left. How many red chairs were there originally?

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Samantha bought tubs of ice cream at these prices:

Large tubs: 2 for $25

Small tubs: 5 for $20

She bought an equal number of large and small tubs. She spent $255 more on the large tubs than on the small tubs.

How many tubs of ice cream did she buy altogether? [60]

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A store sells chocolate bars at the following prices:

Large bars: 5 for $20

Small bars: 6 for $15

John bought an equal number of large and small bars of chocolate. He spent $360 more on the large bars than the small bars.

How many chocolate bars did he buy altogether? [480]

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This is a commonly seen word problem for PSLE. When handling this concept, it is important to note that quantity of items does not equal to the value of items.

To solve the work problem above, first determine how many bottles are there in one group. To do that, you need to identity 6 as a common multiple of 2 and 3 [P4 concept].

1 group: 6 small bottles -> $20

6 big bottles -> $45

Difference for 1 group ->

$45 - $20 = $25

Number of groups -> $100 ÷ $25 = 4

Number of bottles-> 4 × 12 = 48

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Look out for 1, 3, 6, 10...

Formula for Square Numbers is [n×(n+1)]/2

a) The pattern is 1, 3, 6...

What is the 10th number? [55]

What is the 13th number? [91]

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Look out for 1, 4, 9, 16...

Formula for Square Numbers is n²

a) The pattern is 1, 4, 9...

What is the 10th number? [100]

b) The pattern is 4, 9, 16...

What is the 12th number? [169]

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Mr. Tan wants to distribute some pencils to his students.
If he gives each student 6 pencils, he will have 5 pencils left.
If he gives each student 8 pencils, he will be short of 45 pencils.

(a) How many students does Mr. Tan have?
(b) How many pencils does Mr. Tan have?

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Miss Lim wants to give some cupcakes to her students.
If she gives each student 5 cupcakes, she will have 6 cupcakes left.
If she gives each student 8 cupcakes, she will be short of 54 cupcakes.

(a) How many students does Miss Lim have?
(b) How many cupcakes does Miss Lim have?

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Miss Aisha wants to give some sweets to her students. If she gives each student 7 sweets, she will have 4 sweets left. If she gives each student 9 sweets, she will be short of 72 sweets.

(a)  How many students does Miss Aisha have?

(b)  How many sweets does Miss Aisha have?