P4P5 Reverse Model Drawing (Before and After Fractional Change)

This exercise below aims to help students better understand before and after models by having them look at the already completed models and have them fill in the blanks to the original problem sum description.

While these are not exam questions, they help students to structure their thinking process for the formation of the equations(number sentences) needed to solve such questions.

Given the before and after model above, 
fill in the blanks.

Luke has ___ times as many toy cars as Marvin at first.

After Luke gave away __/__ of his toy cars.

He now has equal number of toy cars as Marvin.

Luke have 13 toy cars at the end.

They have ___ toy cars 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.

Click  if above box appears blank

P4P5 Math: 2 Different Totals with 2 Different Quantities of 2 Different Items

Such questions presents 2 different type of items, each of different values.

The total of 2 different quantities of 2 items are given.

Without any comparison given, students must be able to make use of the 2 totals given in order to solve.

Such questions are common in Section C and Paper 1 of P4 and P5 exams.

Calculator usage is not allowed.

Similar questions of varying difficulties can also be found here and here.

3 pots and 5 lids costs $25.

4 pots and 3 lids costs $26.

How much does 6 lids 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.

Click  if above box appears blank

P5P6 Math: Value and Multiples and Differences

This is a question type that will provide 4 of the listed information below for 2 different items of different quantities,

1. Total value of 2 items
   
   
2. Difference between 2 item's totals
   
   
3. Unit Difference between 2 items
   
   
4. Multiples of 1 item compared with another 

Similar questions using ratio to represent the multiples can also be found here and here.

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed

Samy bought thrice as many books as pens.

He spent a total of $3850 on all the books and pens.

Each book cost $5 more than each pen.

He paid $2030 more for all the books than for all the pens.

How many books did Samy buy?

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

P5P6 Math: Before and After (One Party Change) Fractional Comparison

Such questions are very similar to before and after "ratio" comparison where only one of the values changed, but the ratios are expressed using fractions. 

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Similar Ratio (One Party Change) questions can be found here.

Ben and Lenny each have some baseball cards.

At first, Ben has ²/₅ as many cards as Lenny.

After Ben bought 36 more cards,

Ben has ²/₃ as many cards as Lenny.

How many cards did both boys 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.

Click  if above box appears blank

P6 Math: Fraction of Remainder with Guess and Check

This question type requires students to be able to use part/whole models to visualize "Fraction of Total" and "Fraction of Remainder". The "Guess and Check" table will also be required here.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed

Teddy bought some apples from the market.

After he threw away 152 apples and gave ¹/₅ of the remaining apples to his sister, 

he was left with ⁴/₇ of the apples bought. 

He packed the apples he had left into large boxes of 12 and small boxes of 8.

All the boxes were full without any apples left over.

What was the least number of boxes used by Teddy?

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: Before and After Average Expert (Average Decreased after some left)

The meaning of "Average" is 

"the number that is calculated by adding quantities together and then dividing the total by the number of quantities" 

according to Britannica dictionary.

For this "Before and After" Average question type, the total is not given and the average decreased if some parties were excluded from the count.

This question is very similar to another one published here.(where the average increased instead). More of such "before and after average" questions here.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

A group of girls have an average of 66 stickers in their collection.

If 3 girls with an average of 70 stickers stickers were excluded from the group,

the remaining girls will have an average of 64 stickers instead.

How many girls were there in this group?

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

P4P5 : Internal Transfer Multiples (More Became Less)

This question type is very similar to the one with external transfer where the one with more became the one with less.

This one, however, is internal transfer, where the larger value gives away to the smaller value until the smaller value becomes the bigger one.

Such questions will appear in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Kieran has thrice as many marbles as Irwin at first.

After Kieran gave Irwin 75 marbles,

Irwin now has twice as many marbles as Kieran.

How many marbles did Kieran 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.

Click  if above box appears blank