Math 7 · Unit 9: Sequences and functions · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1a: look at this sequence of patterns of squares. How many squares are in patterns 1, 2 and 3?

   • 2, 4 and 6
   • 2, 3 and 4
   • 1, 2 and 3
   • 2, 4 and 8
   Check

2. 2. Question 1b: Zara thinks the term-to-term rule is 'Add 2'. Sofia thinks it is 'Add 4'. Who is correct?

   • Zara
   • Neither of them
   • Sofia
   • Both of them
   Check

3. 3. Look at the sequence of patterns of squares. How many squares are in patterns 4 and 5?

   • 8 and 16
   • 7 and 8
   • 8 and 10
   • 10 and 12
   Check

4. 4. Look at the sequence of patterns of squares: 2, 4, 6, then three more terms. What are the next three terms?

   • 8, 10, 14
   • 7, 8, 9
   • 8, 10, 12
   • 8, 12, 16
   Check

5. 5. Question 2a: look at this sequence of patterns of triangles. How many triangles are in patterns 1, 2 and 3?

   • 2, 3 and 4
   • 3, 4 and 6
   • 3, 5 and 7
   • 3, 4 and 5
   Check

6. 6. Question 2b: what is the term-to-term rule for this sequence of patterns of triangles? Choose from: add 3, add 1, add 2, add 4.

   • add 3
   • add 1
   • add 2
   • add 4
   Check

7. 7. Look at the sequence of patterns of triangles. How many triangles are in patterns 3, 4 and 5?

   • 5, 7, 9
   • 6, 8, 10
   • 4, 5, 6
   • 5, 6, 7
   Check

8. 8. Question 2e: complete the sequence of the number of triangles in each pattern: 3, 4, ☐, ☐, ☐, ☐

   • 4, 5, 6, 7
   • 5, 6, 7, 8
   • 6, 8, 10, 12
   • 5, 7, 9, 11
   Check

9. 9. Question 3b: this sequence of patterns is made from dots. Write down the number sequence of the dots for the first five patterns.

   • 3, 6, 12, 24, 48
   • 3, 6, 9, 12, 15
   • 1, 2, 3, 4, 5
   • 3, 5, 7, 9, 11
   Check

10. 10. Question 3c: what is the term-to-term rule for the number of dots?

    • Add 2
    • Add 6
    • Multiply by 2
    • Add 3
    Check

11. 11. This sequence of patterns is made from dots. How is the sequence formed?

    • Each pattern has twice as many dots as the one before.
    • Each pattern has 1 more dot than the one before.
    • Each pattern has 2 more dots than the one before.
    • Each pattern has 3 more dots than the one before.
    Check

12. 12. This sequence of patterns is made from squares. Pattern 1 has 3 squares and pattern 2 has 5. How many squares are in patterns 3, 4 and 5?

    • 8, 13 and 21
    • 6, 7 and 8
    • 7, 9 and 11
    • 7, 10 and 13
    Check

13. 13. This sequence of patterns is made from squares. What is the term-to-term rule?

    • Add 2
    • Add 3
    • Multiply by 2
    • Add 1
    Check

14. 14. Question 4d: in the same sequence of squares (3, 5, 7, …), how many squares will there be in pattern 6 and in pattern 8?

    • 13 and 15
    • 13 and 17
    • 12 and 16
    • 15 and 19
    Check

15. 15. Question 5b: this sequence of patterns is made from blocks. How many blocks are in patterns 1, 2 and 3?

    • 5, 6 and 7
    • 5, 7 and 9
    • 3, 4 and 5
    • 2, 3 and 4
    Check

16. 16. This sequence of patterns is made from blocks. What is the term-to-term rule?

    • Add 2
    • Add 3
    • Add 5
    • Add 1
    Check

17. 17. Question 5d: in the sequence of blocks (5, 7, 9, …), how many blocks will there be in pattern 6 and in pattern 9?

    • 15 and 21
    • 14 and 20
    • 13 and 19
    • 15 and 23
    Check

18. 18. Question 6a: this sequence of patterns is made from dots. How many dots are in patterns 1 to 5?

    • 3, 7, 11, 15, 19
    • 1, 3, 5, 7, 9
    • 3, 7, 11, 13, 17
    • 3, 5, 7, 9, 11
    Check

19. 19. Question 6b: in the sequence of dots 3, 7, 11, 15, 19, …, how many dots will there be in pattern 10 and in pattern 18?

    • 40 and 72
    • 39 and 71
    • 39 and 75
    • 43 and 75
    Check

20. 20. Question 7a: this sequence of patterns is made from hexagons. How many hexagons are in patterns 1 to 5?

    • 3, 5, 7, 9, 11
    • 3, 7, 11, 15, 19
    • 3, 6, 12, 24, 48
    • 3, 6, 9, 12, 15
    Check