(1) Draw a diagram and use basic geometry formulas to calculate the area, or decompose the shape into simpler shapes and add the areas. (2) Subtract the volumes to determine how much needs to be poured. (3) Calculate 70% of the original volume and subtract it from the total to find the amount left. (4) Set up an equation relating Swee Lan's beads to Aina's beads and the information given to solve for Aina's amount. (5) Follow the order of operations and solve step-by-step. (6) Try different numbers in the blank and calculate to find which

1. Problem Solving and Strategies

2. Sample 1 :Mathematics Year 5
Topic 4 : Percentage
Learning Outcome : Convert percentage to fraction
in its simplest form.
Learning Area 2 : Convert Fractions and Decimals
to Percentage
The Question:
In a class, 25% of pupils are girls. What is the
fraction of the girls in the class?

3. Strategy 1: Draw Diagram

4. Strategy 2: Halving
100%
50% 50%
25% 25% 25% 25%

5. Sample 2 :Mathematics Year 5
Topic : Time
Learning Area : Duration
Learning Outcome : (ii) calculate the duration of an
event, involving – (B) days and
hours
The Question:
The teensy weensy spider was at the bottom of a
10 m water spout. Each day when the sun came out
the spider climbed upwards 5 m. But each evening
the rain came down and washed the spider back
down 4 m. At this rate, how many days will it take
the spider to climb out of the water spout?

6. Strategy 1: Draw Diagram
10
9
Day 6
8
7
Day 5
6
Day 4
5
Day 3
4
3
Day 2
2 Day 1
1
0

7. Strategy 2: Trial and Improvement
0+5=5–4=1 ( day 1 )
1+5=6–4=2 ( day 2 )
2+5=7–4=3 ( day 3 )
3+5=8–4=4 ( day 4 )
4+5=9–4=5 ( day 5 )
5 + 5 = 10 ( day 6 )

8. Sample 3 :Mathematics Year 5
Topic : Mass
Learning Area : Comparing Mass
Learning Outcome : Solve problems involving
conversion of mass units in
decimals
The Question:
Ani bought 3 kg of long beans and 500 g of chilly.
What is the weight of the vegetables in kilograms?

9. Strategy 1: Trying a Simpler Case
gram kilogram
1000 g 1.0 kg
500 g 0.5 kg
To solve the problem:
3 kg = 3.0 kg
So, 3.0 kg + 0.5 kg
= 3.5 kg

10. Strategy 2: Choosing Operations
1. Information given  3 kg long beans
 500 g chilly
2. Information needed Total of the vegetables (kg)
3. Operations Addition and division
4. Solve a. Convert:
500 g =_____ kg
1000 g = 1 kg
500 g = 0.5 kg
b. Add:
3 kg = 3.0 kg
3.0 kg + 0.5 kg = 3.5 kg

11. Enjoy
your
Workshop

12. Your Task:
Each group is require to design
at least 2 strategies
to solve each and every question(s)
assign to your group

13. The Workshop Questions
(1) UPSR 2007 P2 Qs15:
Diagram 4 shows a rectangle JKLM and a right-angled
triangle LKN.
JKN is a straight line. The length of KN is equal to the
length of KL. Calculate the area, in cm², of the
coloured region.

14. The Workshop Questions
(2) UPSR 2007 P2 Qs16:
Diagram 5 shows the volume of water in beaker J and
beaker K.
925 ml
475 ml
J K
Calculate the volume of water, in ml, that need to be
poured from beaker J to beaker K so that both
beakers contain the same volume of water.

15. The Workshop Questions
(3) UPSR 2008 P2 Qs16:
Diagram 16 shows the volume of a
barrel of petrol. Chin Seng sells 70%
45 l of the petrol. How much of the
volume, in l, of petrol is left?
(4) UPSR 2008 P2 Qs17:
A total of 100 beads are given to Aina and Swee Lan.
Aina gets 20 beads less than Swee Lan. How many
beads does Aina get?

16. The Workshop Questions
(5) UPSR 2009 P2 Qs12:
25.3 – 4.98 + 6.7 =

17. The Workshop Questions
(6) UPSR 2008 P1 Qs7:
– 10 053 – 900 = 35 912
What number must be written in the ?
A 24 959 B 26 762 C 45 065 D 46 865
(7) UPSR 2008 P1 Qs26:
Puan Ang buys 5 boxes of oranges. Each box contains
60 oranges. 9% of the total oranges are rotten. How
many oranges are not rotten?
A 291 B 273 C 255 D 243