PSLE features this type of questions that focuses on problem solving. These questions separate students who scores the As. The question is easier to solve when visualised in bar model form.
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PSLE Word Problem - Solution
1. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
2. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
1
Draw 2 model bars representing each colour pen, break the
longer at the point it is equal to the shorter bar
Yellow Pens
Equal
Blue Pens
185 More Yellow Pens
3. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
2
Now divide the bars into smaller parts to represent the fractions.
The common denominator for 3/5 and 1/2 is 10, so well use 10
parts. For the extra 50 yellow pens, well leave it as 5 parts
Yellow Pens
50 More
Blue Pens
4. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
3
We know 3/5 yellow pens were sold. For both left and right yellow bars,
we will indicate 3/5 of pens were sold in white. Likewise, we know 1/2
blue pens were sold, which we can also indicate in white.
Yellow Pens
50 More
Blue Pens
5. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
4
We know 3/5 of yellow pens were sold, thus we can determine how
many of the 50 extra yellow pens were sold and how many left
Yellow Pens
50 More
Blue Pens
3/5 X 50
=30 sold
!
2/5 X 50
= 20 left
6. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
5
Now lets focus on the left hand side.
Of the 110 pens left, 20 are the extra yellow pens (orange). So the
remaining 110 - 20 = 90 are yellow and blue pens.
Yellow Pens
50 More
3/5 X 50
=30 sold
!
2/5 X 50
= 20 left
Blue Pens
+
= 110 - 20 = 90 pens
7. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
6
4 yellow units + 5 blue units = 90 pens. Thus each unit represents
90 / (4+5) = 10 pens
Yellow Pens
50 More
3/5 X 50
=30 sold
!
2/5 X 50
= 20 left
Blue Pens
+
4 Units
5 Units
9 units = 90 pens
1 unit = 90/9 = 10 pens
8. Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
Answer : 110
+
30
= 140 Sold
185 More
7
3/5 X 50
=30 sold
!
2/5 X 50
= 20 left
Yellow Pens
Blue Pens
+
4 Units
5 Units
There were 11 units sold,
thus 11 units X 10 pens per unit = 110 pens