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3 Interesting PSLE 2023 Math Questions & Their Solution Exposed now

3 Interesting PSLE 2023 Math Questions & Their Solution Exposed now

PSLE 2023 is over! Yay! 

Every year after the national exam is over, some specific challenging or tricky questions will be up for discussion as students wonder how to solve them even after the test. 

Occasionally, this causes controversy, particularly when parents perceive the questions as too difficult.

This year, many of my students found the exam manageable. However, some questions still stand out, and there is a consensus that they are questions that are more challenging, or what I would like to term as interesting.

So now, let’s take a look at 3 of the PSLE 2023 math questions and how to solve them. 

Do note that the actual questions are yet to be published and thus the questions over here are not exactly the same as the actual one, but the meaning of the question is the same.

The 3 PSLE math questions that we are going to look at are related to the following topics:

  • Speed question 
  • Area and perimeter of trapeziums question
  • Average question

PSLE 2023 Speed Question

Faizal and Elise started jogging from Point A at the same time. Faizal’s speed was 30 m/min faster than that of Elise’s. Both of them did not change their speed. Faizal jogged to the end of the track at Point C before jogging back. They passed each other at the 4000 m mark of the track at Point B. What was Elise’s speed?

PSLE 2023 Speed Question Solution and Answer

Here’s another way to understand it:

Extra distance that Faizal ran → 600 m x 2 = 1200 m

Time taken by Faizal → 1200 m ÷ 30 m/min = 40 min

Elise’s Speed → 4000 m ÷ 40 min = 100 m/min

If you want more practice for speed, check out this Speed Distance Time Activities Mega Bundle in my TPT store.

PSLE 2023 Area And Perimeter Of Trapeziums Question

The figure below shows a trapezium with a perimeter of 96 cm. 

a) Figure 1 is made up of 3 such trapeziums and it has a perimeter of 204 cm. Find the length AB. 

PSLE 2023 Area and Perimeter of Trapeziums Questions, Solution and Answer Part a.

b) Figure 2 is also made up of 4 such trapeziums. These trapeziums form 2 identical rectangles. The total area of these rectangles is 1932 cm2. How long is AD? 

PSLE 2023 Area and Perimeter of Trapeziums Questions, Solution and Answer Part a.

Solution

a)

Perimeter of 3 trapeziums → 96 x 3 = 288 cm

Length of 4 AB → 288 -204 = 84 cm

Length of AB → 84 ÷ 4 = 21 cm

b)

Area of 1 rectangle → 1932 ÷ 2 = 966

Length of rectangle → 966 ÷ 21 = 46 

Length of AD → 46 – 12 – 21 = 13 cm

PSLE 2023 Average Question

The diagram below shows a scale that is equally balanced on both sides.

The average mass of A, B and C is 240 g.

The mass of B is a 2-digit number. 

Find the smallest difference between A and B. 

PSLE 2023 Average Question Solution and Answer

Solution

Total mass of A, B and C → 240 g x 3 = 720 g

Total mass of A and B → 720 g ÷ 2 = 360 g

Since we know A is bigger than B, to get the smallest difference between A and B, B needs to be as big as possible.

So the greatest 2-digit number is 99.

Mass of B →  360 g – 99 g = 261 g

Smallest difference between A and B → 261 g – 99 g = 162 g  

If you want more practice for average concepts, check out this Finding The Average Of Numbers in my TPT store.

Final Thoughts

In this blog post, we delved into three notable PSLE 2023 math questions that touched on various mathematical concepts. 

I hope these explanations have shed light on the problem-solving strategies that can be applied to tackle similar challenges.

Our discussion of questions from the 2023 exam serves a dual purpose. 

Firstly, it satisfies the curiosity of Primary 6 students eager for solutions while these questions are still fresh in their minds. As time passes, these interesting questions might slip from memory.

Secondly, I anticipate that similar question types may appear in the 2024 test papers. By engaging with these questions now, Primary 5 students can get a head start on their preparations.

As we eagerly await the PSLE 2023 Math results, let’s remember that the beauty of mathematics lies in its ability to challenge us, spark our curiosity, and ultimately lead us to new levels of understanding. 

But for now, to all Primary 6 teachers and students, savor the remainder of the year—you’ve earned it!

Related Read: 3 Interesting 2022 Math PSLE Questions With Answers You Need To Know

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