# Reasoning and problem solving (Part 2)

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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!

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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!

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

# 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.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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.

Q1.If 4f - 8 = 20. What is the value of f?

1/6

Q2.Which expression would represent the following problem: A singer makes money from selling music. They pay a one-off fee of £55 to Oak-Tunes for marketing and distribution costs and receive £1 for each copy of the album sold.

2/6

Q3.Instead of writing 7 x a in an algebraic expression, what could I write instead?

3/6

Q4.3c + 2d = 30. Which pair of numbers does does NOT work with this equation?

4/6

Q5.Kate's age now is a multiple of three. In two years' time, her age will be a prime number. Which of the following could be her age?

5/6

Q6.Sam's age now is a multiple of four. In four years' time, her age will be a square number. Which of the following could be her age?

6/6

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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.

Q1.If 4f - 8 = 20. What is the value of f?

1/6

Q2.Which expression would represent the following problem: A singer makes money from selling music. They pay a one-off fee of £55 to Oak-Tunes for marketing and distribution costs and receive £1 for each copy of the album sold.

2/6

Q3.Instead of writing 7 x a in an algebraic expression, what could I write instead?

3/6

Q4.3c + 2d = 30. Which pair of numbers does does NOT work with this equation?

4/6

Q5.Kate's age now is a multiple of three. In two years' time, her age will be a prime number. Which of the following could be her age?

5/6

Q6.Sam's age now is a multiple of four. In four years' time, her age will be a square number. Which of the following could be her age?

6/6

# Lesson summary: Reasoning and problem solving (Part 2)

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Dance