Patterns and powers

The rule behind a sequence of numbers, and the squares, cubes and powers that describe repeated multiplication.

6 sheets · 71 questions · one answer key · 7 pages

Recommended for grades 4–6

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Add a step Sheet 1 of 6

Number patternsGrowing by a step

Name: Date:

Find the missing number in each pattern.

11, , 23, 34, 45

29, 19, 29, , 49

36, , 26, 36, 46

42, 12, 22, , 42

55, 14, , 32, 41

67, 12, , 22, 27

74, 8, , 16, 20

81, 7, 13, , 25

92, 6, , 14, 18

106, 9, , 15, 18

117, 11, 15, , 23

125, 10, 15, , 25

Number patternsShrinking by a step

Name: Date:

Find the missing number in each pattern.

125, 20, 15, , 5

222, 18, 14, , 6

327, , 15, 9, 3

429, , 19, 14, 9

529, 23, , 11, 5

632, , 18, 11, 4

712, , 8, 6, 4

852, , 30, 19, 8

917, , 9, 5, 1

1046, , 26, 16, 6

1131, 24, , 10, 3

1227, 22, , 12, 7

Number patternsGrowing by a factor

Name: Date:

Find the missing number in each pattern.

14, , 16, 32

22, 6, , 54

31, , 9, 27

43, 6, , 24

51, , 4, 8

61, 3, , 27

72, 4, , 16

84, , 36, 108

92, , 18, 54

104, 8, , 32

111, 2, , 8

124, 12, , 108

ExponentsSquares (n²)

Name: Date:

Find the value of each square.

120² =

213² =

319² =

42² =

517² =

616² =

710² =

89² =

93² =

107² =

116² =

1211² =

ExponentsCubes (n³)

Name: Date:

Find the value of each cube.

12³ =

29³ =

312³ =

48³ =

53³ =

67³ =

710³ =

84³ =

911³ =

105³ =

116³ =

ExponentsPowers (bᵉ)

Name: Date:

Find the value of each power.

12² =

23² =

34² =

42⁴ =

56³ =

64³ =

76² =

82³ =

93³ =

105³ =

114⁴ =

125⁴ =

Power Pack · Patterns and powersAnswer key

Add a step

1. 1, [12], 23, 34, 452. 9, 19, 29, [39], 493. 6, [16], 26, 36, 464. 2, 12, 22, [32], 425. 5, 14, [23], 32, 416. 7, 12, [17], 22, 277. 4, 8, [12], 16, 208. 1, 7, 13, [19], 259. 2, 6, [10], 14, 1810. 6, 9, [12], 15, 1811. 7, 11, 15, [19], 2312. 5, 10, 15, [20], 25

Subtract a step

1. 25, 20, 15, [10], 52. 22, 18, 14, [10], 63. 27, [21], 15, 9, 34. 29, [24], 19, 14, 95. 29, 23, [17], 11, 56. 32, [25], 18, 11, 47. 12, [10], 8, 6, 48. 52, [41], 30, 19, 89. 17, [13], 9, 5, 110. 46, [36], 26, 16, 611. 31, 24, [17], 10, 312. 27, 22, [17], 12, 7

Multiply by a factor

1. 4, [8], 16, 322. 2, 6, [18], 543. 1, [3], 9, 274. 3, 6, [12], 245. 1, [2], 4, 86. 1, 3, [9], 277. 2, 4, [8], 168. 4, [12], 36, 1089. 2, [6], 18, 5410. 4, 8, [16], 3211. 1, 2, [4], 812. 4, 12, [36], 108

Squares

1. 20² = 4002. 13² = 1693. 19² = 3614. 2² = 45. 17² = 2896. 16² = 2567. 10² = 1008. 9² = 819. 3² = 910. 7² = 4911. 6² = 3612. 11² = 121

Cubes

1. 2³ = 82. 9³ = 7293. 12³ = 17284. 8³ = 5125. 3³ = 276. 7³ = 3437. 10³ = 10008. 4³ = 649. 11³ = 133110. 5³ = 12511. 6³ = 216

Powers

1. 2² = 42. 3² = 93. 4² = 164. 2⁴ = 165. 6³ = 2166. 4³ = 647. 6² = 368. 2³ = 89. 3³ = 2710. 5³ = 12511. 4⁴ = 25612. 5⁴ = 625

Patterns and powers

What is in the pack

The number track

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