Reasoning and problem solving

In this lesson we will explore two types of problem in depth, thinking carefully about how to represent each problem in order to help us find a solution.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Q1.What would be the next term in this sequence? 5.5, 5.75, 6, 6.25, 6.5, 6.75

1/6

Q2.What is the term to term rule in this sequence? 9, 14, 19, 24

2/6

Q3.What would be the previous term in this sequence? 31, 36, 41, 46, 51

3/6

Q4.Look at the following sequence, which term below can not be part of that sequence? 29, 34, 39, 44, 49

4/6

Q5.If a represents the amount of apples. How could we represent double the amount of apples?

5/6

Q6.In this problem b represents the amount of bananas. There are 12 more apples than bananas. How could we represent the apples in terms of b?

6/6

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Q1.What would be the next term in this sequence? 5.5, 5.75, 6, 6.25, 6.5, 6.75

1/6

Q2.What is the term to term rule in this sequence? 9, 14, 19, 24

2/6

Q3.What would be the previous term in this sequence? 31, 36, 41, 46, 51

3/6

Q4.Look at the following sequence, which term below can not be part of that sequence? 29, 34, 39, 44, 49

4/6

Q5.If a represents the amount of apples. How could we represent double the amount of apples?

5/6

Q6.In this problem b represents the amount of bananas. There are 12 more apples than bananas. How could we represent the apples in terms of b?

6/6

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

  • Click "Close Video"
  • Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Reasoning and problem solving

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Q1.If 3f + 8 = 20. What is the value of f?

1/4

Q2.Which expression would represent the following problem: The cost of a photo album book is £1.50 for binding and printing with an additional cost of 25p per photograph.

2/4

Q3.a - 2b = 8. Which of the following pairs of numbers would work?

3/4

Q4.A function machine has the rule x = 2y + 1. Where y is the input and x is the output. If we put 4 into the function machine (y = 4) what would come out?

4/4

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Reasoning and problem solving

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Q1.If 3f + 8 = 20. What is the value of f?

1/4

Q2.Which expression would represent the following problem: The cost of a photo album book is £1.50 for binding and printing with an additional cost of 25p per photograph.

2/4

Q3.a - 2b = 8. Which of the following pairs of numbers would work?

3/4

Q4.A function machine has the rule x = 2y + 1. Where y is the input and x is the output. If we put 4 into the function machine (y = 4) what would come out?

4/4

Lesson summary: Reasoning and problem solving

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