P6 Math: Catching up (Savings vs Spent vs Allowances)

Advance P6 questions such as these requires students to compare between daily differences and accumulated differences.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

An easier version of the question can be found here. (use for building concepts)

Esther's daily allowance is $0.40 more than Valerie's daily allowance.

Each girl spends the same amount of $1.50 every day and saves their remaining allowance.

When Esther saved $40, Valerie only managed to save $20.

How much was Valerie's daily allowance?

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.

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P3/P4 Before and After One Party Unchanged (Start Same, End Multiples)

In such questions, 2 values are being presented to be equal at first.

One of the values undergo a change (add/subtract) and it results with the larger value becoming a multiple of the smaller value at the end.

Before and After questions are staples for P3 and P4 students as they would need to know how to visualize these questions using "Before and After Comparison Models".

Such questions are common in Section C of P3 and P4 exam papers.

Harold and Kumar has the same number of sweets at first.

After Harold ate 45 sweets, 

Kumar now has 4 times as many sweets as Harold.

How many sweets did both have altogether at first?

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.

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P4P5 Math: Before and After Start Same End Multiples

One of the "Before and After" problem sums where the 2 parties start with equal value.
After each undergo a decrease, one of value remaining is a multiple of the other.

Such questions are common in P4 and P5 exams.

They either appear in Paper 1 of P5 or Section C of P4 papers.

Calculator usage is not allowed.

Evelyn and Kathy each have the same number of stamps at first.

After Evelyn sold 24 stamps and Kathy gave away 100 stamps,

Evelyn now has thrice as many stamps remaining as Kathy.

How many stamps did Evelyn have at first?

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.

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P4/P5 Math: Before and After Fractional Decrease (Start Same, End with Difference)

The questions starts off with equal quantities of 2 different items.

Each item undergoes different fractional decrease.

The difference at the end is given.

Such question requires students to be able to use "Before and After" models 

and use the denominator of each fraction to show the total items of either type at first. 

Such questions usually appear in P4 SA2 papers and P5 Paper 1.

Calculator usage is not allowed.

A slightly more complex version of this question for P5 and P6 students can be found here.

Alison has the same number of red and white roses.

After giving away ¹/₄ of the red roses and ¹/₃ of the white roses,

she now has 24 more red than white roses.

How many roses does she have altogether at first?

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.

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P3/P4 Math: Before and After (Constant Difference)

The following question type introduces the concept of constant difference to the P3 and P4 students and requires students to be able to solve by means of model drawing.

Such is a question that requires "Before and After" model drawing methods to visualize the concept of "Constant Difference".

These questions will appear in Section C of P3 and P4 exam papers.

Eric and Brady have the same number of goldfish in their aquariums.

After Eric added 5 goldfish and
Brady added 15 goldfish in their own aquariums,

Brady now has twice as many goldfish as Eric.

How many goldfish did they have altogether at first?

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.

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P4/P5 Math: Before and After: Start Same but End with Multiples

The following question is a P4 and P5 question that does not require a calculator.

This is a "before and after" model drawing exercise where both parties starts with the same amount but after each add or subtract different amounts from their total, the story ends with one being a multiple of another.

Derek and Becky baked the same number of loaves of bread at first.

After Derek sold 20 loaves and Becky gave away 80 loaves,

Derek now has 4 times as many loaves of bread left as Becky.

How many loaves of bread did both bake altogether at first?

How does yeast help make bread?

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

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