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Math 4 · Unit 1: Numbers and the number system · Cambridge Primary Maths Stage 4

1.1 Counting and sequences

23 questions · e.g. 10, 16, 22, … What comes next?

Practice

Questions

  1. 1. The numbers in a sequence increase by 30 each time: 10, 40, 70, … Which number in the sequence is closest to 200?

    10+3040+3070+30100+30130+30160+30190+30220190200210220200
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  2. 2. Hassan shades these numbers on a hundred square: 11, 22, 33, 44, 55, 66, 77, 88, 99. What is his rule for finding the next number?

    123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100
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  3. 3. Hassan shades 11, 22, 33, 44, 55, 66, 77, 88, 99 on a hundred square. What is the next number in his pattern?

    123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100
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  4. 4. The sequence 10, 16, 22, … continues in the same way. What are the next two numbers?

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  5. 5. The rule for a sequence of numbers is 'add 3' each time: 1, 4, 7, 10, 13, . . . The sequence continues in the same way. Which number is **not** in the sequence?

    22283340
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  6. 6. A sequence has first term 2020 and the rule 'add 11'. What are the first five terms?

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  7. 7. What are the next four terms? 10, 7, 4, …

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  8. 8. What are the next four terms? −9, −7, −5, …

    -10-9-8-7-6-5-4-3-2-10−9−7
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  9. 9. What are the next four terms? 1095, 1060, 1025, …

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  10. 10. Here is part of a number sequence. The numbers increase by 25 each time. 25, 50, 75, 100, 125, . . . Tick the 2 numbers below that will be in the sequence.

    355750835900995

    Tick all the right answers.

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  11. 11. Amy's sequence starts at 1 with the rule 'add 7'. She says, 'If I keep adding 7, I will reach 77.' Is she correct?

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  12. 12. Part of a sequence is ?, 297, 292, 287, with the rule 'subtract 5'. What is the missing first number?

    ?−5297−5292−5287
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  13. 13. A sequence has first term 1001 and last term 1041. The term-to-term rule is 'add 5'. Which list shows all the terms in the sequence?

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  14. 14. Each number is double the previous number: ?, 3, 6, 12, 24, 48, ? What are the missing numbers?

    ?36122448?
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  15. 15. What is the missing number? 1, 3, 6, 10, ?

    13610?
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  16. 16. The sequence 4, 14, 24, … increases by 10 each time. Which two numbers from the sequence add up to 68?

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  17. 17. Is 5, 9, 13, 17, … linear or non-linear, and what are the next two terms?

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  18. 18. Is 3, 11, 18, 24, … linear or non-linear, and what are the next two terms?

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  19. 19. Is 3, 6, 12, 24, … linear or non-linear, and what is the term-to-term rule?

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  20. 20. Which sequence contains both 1 and 10 with at least one number between them?

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