Year 6

Consolidating linear sequences and representing problems with algebra

Year 6

Consolidating linear sequences and representing problems with algebra

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Lesson details

Key learning points

  1. In this lesson, we will explore two different types of problems: one that consolidates learning around linear number sequences and one that explores expressing a maths story using algebraic notation.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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4 Questions

Q1.
3f + g = 15. Which of the following pairs of numbers would work?
f = 2, g = 10
Correct answer: f = 3, g = 6
f = 4, g = 2
f = 5, g = 1
Q2.
5a - 2b = 8. Which of the following pairs of numbers would work?
a = 3, b = 2
a = 4, b = 12
Correct answer: a = 4, b = 6
a = 5, b = 6
Q3.
3c + 2d = 20. Which pair of numbers does does NOT work with this equation?
c = 2, d = 7
Correct answer: c = 5, d = 2
c = 6, d = 1
Q4.
6m - 3n = 15. Which pair of numbers does does NOT work with this equation?
m = 3, n = 1
Correct answer: m = 4, n = 2
m = 5, n = 5
m = 7, n = 9

6 Questions

Q1.
What would be the next term in this sequence? 5.5, 5.75, 6, 6.25, 6.5, 6.75
6.5
Correct answer: 7
7.25
7.5
Q2.
What is the term to term rule in this sequence? 9, 14, 19, 24
+ 3
+ 4
Correct answer: + 5
+ 6
Q3.
What would be the previous term in this sequence? 31, 36, 41, 46, 51
21
Correct answer: 26
56
61
Q4.
Look at the following sequence, which term below can not be part of that sequence? 29, 34, 39, 44, 49
Correct answer: 100
104
109
94
Q5.
If a represents the amount of apples. How could we represent double the amount of apples?
Correct answer: 2a
a - 2
a + 2
a2
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?
12b
b
Correct answer: b + 12
b + 2