The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Problem Solving Practice 1

In this practice exercise, students will solve word problems, which will develop their problem-solving and comprehension skills under timed conditions.

'Problem Solving Practice 1' worksheet

Key stage:  KS 2

Curriculum topic:   Verbal Reasoning

Curriculum subtopic:   Problem Solving

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The following activity is a practice exercise to help you measure your success under timed conditions.

If you are unsure of an answer, move on to the next question.

You should come back to questions you found difficult at the end if you have time.

 

Look at the example below.

Jack and Miranda have three children.

Daisy is 3 years older than Sally.

Sally is 1 year older than Fred.

Which child is the youngest?

 

Fred must be the youngest as both Sally and Daisy are older than him.

 

Now it's time to begin this practice exercise.

Good luck!

In a queue, Josef is behind Aoife. 

Grace is in front of Aoife but behind Faiza.

Everyone is behind Ewan.

Ryan is behind Josef

 

Who is at the back of the queue?

Grace

Ryan

Josef

Faiza

Ewan

Aoife

There are 16 people on a bus.

At the first stop 4 more people get on.

At the second stop 6 people get on, but double that get off. 

At the third stop, nobody gets on but half of the people on the bus get off. 

 

How many people get off at the third stop?

5

7

10

11

13

School starts at 8.35.

Ross' journey takes him 20 minutes and he arrives on time.

Ian's journey is half as long as Ross' but he arrives 5 minutes earlier than him.

Violet leaves at 8.05 and arrives at 8.30.

Dylan leaves 5 minutes after Violet and arrives 5 minutes earlier than her.

 

Select the false option from the list below.

Ross' journey is double the length of Ian's

Violet has the longest journey

Ross' journey is 5 minutes longer than Dylan's

Ian's journey is 15 minutes longer than Violet's

Dylan's journey is 10 minutes shorter than Violet's

Lola has £5 saved up. Cheryl has double that.

Naomi has £7 less than Cheryl.

Johan has the same amount as Naomi and Zachary put together.

Zachary has half of Lola's amount.

 

 

Select the true option from the list below.

Naomi has less than Zachary

Nobody has less than Naomi

Everybody has more than Zachary

Only one person has less than £5

All of the others put together is still less than Cheryl

Victoria has 2 children, Imogen and Joel.

Joel is Casper and Rohan's father.

Imogen has a daughter called Camilla.

 

Select the false option from the list below.

Victoria has two grandsons

Joel has a sister

Camilla has two cousins

Imogen has two nieces

Victoria is Camilla's grandmother

A group of children chose some sports to do during the afternoon.

Teagan chose cricket, and she and Austin both chose tennis and hockey.

Mika chose football, cricket and tennis.

Amina chose one of the same sports as Austin, and rugby.

Ash chose one of the same sports as Mika, but none of the same sports as Teagan.

Nobody who chose tennis chose rugby.

 

 

Select the names of all of the children who chose hockey.

Teagan, Austin and Amina

Austin, Ash and Teagan

Amina, Austin and Ash

Teagan, Austin and Mika

Austin and Teagan

In a 300m running race, Evelyn finishes in half the time that Harley does.

Harley takes 80 seconds.

Jian's time is exactly half way between Harley and Jian's time.

Jian is 15 seconds slower than Michael.

 

 

Select the true statement from the list below.

Michael takes over a minute to run the race

Evelyn is slower than Harley

Michael takes 45 seconds to run the race

Harley is faster than Jian

Jian takes 50 seconds to run the race

Elizabeth weighs 5 different boxes to the nearest whole kilogram.

The purple box weighs 16kg.

This is double of the weight of the green box.

It takes four of the yellow boxes to equal the same weight as one purple box.

The red box is 6kg heavier than the green box.

The blue box weighs more than the red box but less than the purple box.

 

She only wants to keep boxes that weigh less than 10kg.

Which boxes will she keep?

Green and red

Blue and yellow

Green, red and yellow

Green and yellow

Blue, yellow and green

Johannes is 2 years older than Jack, but a year younger than Rory.

Rory is 13. 

Next year, Christy will be one year younger than Jack is now. 

Betty is half of Johannes' age.

 

Select the true option from the list below.

Christy will be 10 next year

Betty will be 8 next year

Johannes is older than Rory

Jack is a year older than Christy

Christy is currently 8 years old

In a shop, Matilda buys a book for £4 and 2 puzzles for £3 each.

Wesley buys 1 puzzle and 4 bags of sweets, costing 50p each.

Toby buys 2 packs of sweets and a book for £5.

Phoebe buys 1 book, 2 puzzles and 3 bag of sweets.

Yusuf buys the same as Wesley and a £1 pen and 5 bags of sweets. 

 

Select the names of any children who would receive change from a £10 note.

Matilda

Wesley

Toby

Phoebe

Yusuf

  • Question 1

In a queue, Josef is behind Aoife. 

Grace is in front of Aoife but behind Faiza.

Everyone is behind Ewan.

Ryan is behind Josef

 

Who is at the back of the queue?

CORRECT ANSWER
Ryan
EDDIE SAYS
We find out that everyone is front of someone else apart from Ryan. Up until the last line, Josef is at the back, but then we are told Ryan is behind him, so that makes Ryan our answer.
  • Question 2

There are 16 people on a bus.

At the first stop 4 more people get on.

At the second stop 6 people get on, but double that get off. 

At the third stop, nobody gets on but half of the people on the bus get off. 

 

How many people get off at the third stop?

CORRECT ANSWER
7
EDDIE SAYS
After the first stop, 20 people are on the bus. After the second stop, 14 people are on the bus. Half of them get off at the final stop so we half 14 to get the answer of 7.
  • Question 3

School starts at 8.35.

Ross' journey takes him 20 minutes and he arrives on time.

Ian's journey is half as long as Ross' but he arrives 5 minutes earlier than him.

Violet leaves at 8.05 and arrives at 8.30.

Dylan leaves 5 minutes after Violet and arrives 5 minutes earlier than her.

 

Select the false option from the list below.

CORRECT ANSWER
Ian's journey is 15 minutes longer than Violet's
EDDIE SAYS
Ian's journey is 15 minutes shorter than Violet's, not 15 minutes longer. His journey takes 10 minutes, while Violet's take 25 minutes.
  • Question 4

Lola has £5 saved up. Cheryl has double that.

Naomi has £7 less than Cheryl.

Johan has the same amount as Naomi and Zachary put together.

Zachary has half of Lola's amount.

 

 

Select the true option from the list below.

CORRECT ANSWER
Everybody has more than Zachary
EDDIE SAYS
You should have worked out that as Lola has £5, and Cheryl has £10. Naomi has £3, Zachary has £2.50 and Johan has £5.50. This shows us that Zachary has the least, so it's true that each person has more than him.
  • Question 5

Victoria has 2 children, Imogen and Joel.

Joel is Casper and Rohan's father.

Imogen has a daughter called Camilla.

 

Select the false option from the list below.

CORRECT ANSWER
Imogen has two nieces
EDDIE SAYS
Imogen is the aunt of Joel's children. Notice he has two boys, so that means they are Imogen's nephews. Rohan and Casper are boys, so it is false that they are nieces.
  • Question 6

A group of children chose some sports to do during the afternoon.

Teagan chose cricket, and she and Austin both chose tennis and hockey.

Mika chose football, cricket and tennis.

Amina chose one of the same sports as Austin, and rugby.

Ash chose one of the same sports as Mika, but none of the same sports as Teagan.

Nobody who chose tennis chose rugby.

 

 

Select the names of all of the children who chose hockey.

CORRECT ANSWER
Teagan, Austin and Amina
EDDIE SAYS
We are told at the start that Teagan and Austin both chose hockey so we need to work out if anyone else did. Amina chose one of the same sports as Austin, and we can work out that she chose hockey. This is because she chose rugby, which means she did not choose tennis. The only other sport Austin did was hockey, so that's the other one she chose too.
  • Question 7

In a 300m running race, Evelyn finishes in half the time that Harley does.

Harley takes 80 seconds.

Jian's time is exactly half way between Harley and Jian's time.

Jian is 15 seconds slower than Michael.

 

 

Select the true statement from the list below.

CORRECT ANSWER
Michael takes 45 seconds to run the race
EDDIE SAYS
If Harley takes 80 seconds, then half of his time is 40 seconds, making Evelyn faster than him. Remember, with timings, the lower the number, the faster the time. Jian takes 60 seconds, as that is halfway between 40 and 80, meaning Michael ran the race in 45 seconds. Jian is slower than him so Michael's time has to be 15 seconds less than his, not 15 seconds more.
  • Question 8

Elizabeth weighs 5 different boxes to the nearest whole kilogram.

The purple box weighs 16kg.

This is double of the weight of the green box.

It takes four of the yellow boxes to equal the same weight as one purple box.

The red box is 6kg heavier than the green box.

The blue box weighs more than the red box but less than the purple box.

 

She only wants to keep boxes that weigh less than 10kg.

Which boxes will she keep?

CORRECT ANSWER
Green and yellow
EDDIE SAYS
The green box is less than 10kg because it is half the weight of the 16kg box, making it 8kg. The yellow box is also less than 10kg because a quarter of 16 is 4. The others are all above 10kg. The red box would be 14kg, making the blue box 15kg, as that is heavier than red but lighter than purple.
  • Question 9

Johannes is 2 years older than Jack, but a year younger than Rory.

Rory is 13. 

Next year, Christy will be one year younger than Jack is now. 

Betty is half of Johannes' age.

 

Select the true option from the list below.

CORRECT ANSWER
Christy is currently 8 years old
EDDIE SAYS
We can work out that Johannes is 12, so Jack is 10. Christy will be 9 next year, so at the moment she must be 8 years old.
  • Question 10

In a shop, Matilda buys a book for £4 and 2 puzzles for £3 each.

Wesley buys 1 puzzle and 4 bags of sweets, costing 50p each.

Toby buys 2 packs of sweets and a book for £5.

Phoebe buys 1 book, 2 puzzles and 3 bag of sweets.

Yusuf buys the same as Wesley and a £1 pen and 5 bags of sweets. 

 

Select the names of any children who would receive change from a £10 note.

CORRECT ANSWER
Wesley
Toby
Yusuf
EDDIE SAYS
Matilda spends exactly £10, so she wouldn't receive any change from a £10 note. Phoebe spends a total of £12.50, so neither would she. Wesley spends £5, Toby spends £6 and Yusuf spends £8.50, so as all of these amounts are less than £10, they would all receive change from a £10 note.
---- OR ----

Get started for free so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Try an activity or get started for free