Math 7 · Unit 1: Integers · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Use tests for divisibility to show that 3948 is divisible by 3 and 6 but not divisible by 9.

   • True
   • False
   Check

2. 2. Use tests for divisibility to show that 5328 is divisible by 4 and by 9.

   • True
   • False
   Check

3. 3. Show that 2739 is divisible by 11.

   • True
   • False
   Check

4. 4. When the digits are reversed, the number is 9372. Is 9372 divisible by 11?

   • Yes
   • No
   Check

5. 5. Show that 67 108 is divisible by 4.

   • True
   • False
   Check

6. 6. Is 67 108 divisible by 8?

   • Yes
   • No
   Check

7. 7. The number 3812* is divisible by 3. The final digit is missing. Tick the 3 digits the missing digit could be.

   Tick all the right answers.

   • ☐ 1
   • ☐ 2
   • ☐ 4
   • ☐ 5
   • ☐ 7
   • ☐ 9
   Check

8. 8. What integers less than 12 are factors of 7777? Tick the 3 factors.

   Tick all the right answers.

   • ☐ 1
   • ☐ 3
   • ☐ 5
   • ☐ 7
   • ☐ 9
   • ☐ 11
   Check

9. 9. Use the digits 5, 4, 2 and 1 to make a number that is divisible by: i 5, ii 3. Which pair of numbers works?

   • i 4215, ii 5421
   • i 4251, ii 1245
   • i 1452, ii 2145
   • i 5421, ii 4215
   Check

10. 10. Can you arrange the digits 5, 4, 2 and 1 to make a number that is divisible by: i 9, ii 11?

    • i Yes, ii No
    • i No, ii Yes
    • i Yes, ii Yes
    • i No, ii No
    Check

11. 11. 322 is divisible by 7. Use this fact to find a number that is divisible by 7, 2 and 3.

    • 644
    • 966
    • 325
    • 321
    Check

12. 12. Find the smallest positive integer that is not a factor of 2520.

    • 11
    • 7
    • 13
    • 9
    Check

13. 13. Here are some numbers where all the digits are 9: 9, 99, 999, 9999, 99999, … Which of these are multiples of 11? Tick the 2 numbers.

    Tick all the right answers.

    • ☐ 9
    • ☐ 99
    • ☐ 999
    • ☐ 9999
    • ☐ 99999
    Check

14. 14. A number is divisible by 15 if it is divisible by 3 and 5. Show that 7905 is divisible by 15.

    • True
    • False
    Check

15. 15. A number is divisible by 15 if it is divisible by 3 and 5. The number 208** is divisible by 15. Tick the 7 values it could be.

    Tick all the right answers.

    • ☐ 20805
    • ☐ 20820
    • ☐ 20835
    • ☐ 20850
    • ☐ 20865
    • ☐ 20880
    • ☐ 20895
    • ☐ 20810
    • ☐ 20825
    Check

16. 16. Find three numbers less than 20 that are factors of 3729. Tick the 3 factors.

    Tick all the right answers.

    • ☐ 1
    • ☐ 3
    • ☐ 7
    • ☐ 9
    • ☐ 11
    • ☐ 13
    Check

17. 17. Show that 8897 is divisible by only one number between 1 and 12.

    • True
    • False
    Check

18. 18. The numbers 4, 5, 6, … are consecutive numbers; for example, 4567 is a number with four consecutive digits. Find all the numbers with four consecutive digits that are divisible by: 2. Tick the 3 numbers.

    Tick all the right answers.

    • ☐ 1234
    • ☐ 2345
    • ☐ 3456
    • ☐ 4567
    • ☐ 5678
    • ☐ 6789
    Check

19. 19. The numbers 4, 5, 6, … are consecutive numbers; for example, 4567 is a number with four consecutive digits. Find all the numbers with four consecutive digits that are divisible by: 3. Tick the 2 numbers.

    Tick all the right answers.

    • ☐ 1234
    • ☐ 2345
    • ☐ 3456
    • ☐ 4567
    • ☐ 5678
    • ☐ 6789
    Check

20. 20. The numbers 4, 5, 6, … are consecutive numbers; for example, 4567 is a number with four consecutive digits. Find all the numbers with four consecutive digits that are divisible by: 5

    • 3456
    • 5678
    • 1234
    • 2345
    Check