P6 Math: Bill shared by 3 people but one of them paid first

A bill is shared equally by 3 people whom have different amounts of money at first.

This is a very unique question that requires students to make use of "Total Unchanged" to visualize the models between all 3 parties.

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Mary, Roger and Ken shared the cost of a gift for their father equally.

If Mary paid for the gift first, the amount she have remaining will 

be ⁴/₉ of the amount of what Roger have at first. 

If Roger paid first, the amount he have remaining will 

be ¹¹/₁₅ of the amount of what Mary have at first.

If Ken paid first, he'd have no money remaining.

If Roger had $126 more than Mary at first,

how much did the gift cost?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

P5/P6 Math: Cutting into pieces with a tool

The question below requires students to see that one cut can cut a single length into 2 pieces.

And 2 cuts into 3 pieces.

Such questions are common in Paper 1 of P5 and P6 exams.

Calculator usage is not allowed.

Questions of a similar nature can be also found here.

A carpenter using a hacksaw can saw a length of wood into 3 pieces in 3 minutes.

How long will it take for the carpenter to saw the same length of wood into 9 pieces?

(*Hint* The answer is not 9 minutes.) 

A Hacksaw

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

P3/P4 Math: Fitting Equal Quantities into Containers with Remainder

The following question requires basic division so as to find out how many containers can be fitted with equal quantities but there will be some remainder after performing the division.

Such questions are common in P4 exams in Section A or B.

Mrs Lim is planning an excursion for her 60 students.

She needs to ferry the students and herself to the Science Center.

A mini-bus can sit up to 12 people.

What is the least number of mini-buses needed 

to ferry the students and herself to the Science Center?

Typical 12-seater mini-bus

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P5 Math: Percentage and Ratio to describe 3 Values

Once students are taught percentage and ratio, these 2 concepts can be presented in the same problem sum such as the one below.

Students must make use of the "repeated identity" method to solve.

Such questions are common in WA2 and SA2 of P5 exams.

Calculator usage is allowed.

There are oranges, pears and apples for sale at a fruit stall.

15% of the fruits at the stall are oranges.

The ratio of pears to apples at the stall is 12:5.

There are 150 more apples than oranges at the stall.

How many fruits are there altogether at the fruit stall?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P6 Math: 2 Different Comparisons between 3 Parties

The relationship of 3 values are being compared by using the sum of first two to compare with the third.

2 of such comparisons are given with the known differences.

Such questions are common in Paper 2 of P6 Prelims.

Calculator usage is allowed.

Ahmad, Balu and Canaan, each have some marbles.

Ahmad's marbles make up ¹/₄ of their total number of their marbles.

Ahmad and Balu together, have 66 more marbles than Canaan.

Canaan and Ahmad together, have 24 more marbles than Balu.

How many marbles do they have altogether?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank