Quelpr

Number Sequences and Rules · CSEC Mathematics

145 past-paper questions on Number Sequences and Rules, part of NUMBER THEORY AND COMPUTATION, from every CSEC Mathematics paper on Quelpr.

Practise Number Sequences and Rules
  1. 8(a)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Draw the FOURTH triangle of the set on the grid provided on the answer sheet.
  2. 8(b)4 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Copy and complete the table for the 3rd, 4th, 5th, and 6th triangles.
  3. 8(c)(i)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2Write a rule describing the sequence of numbers in Column 2 (Number of Dots on Perimeter).
  4. 8(c)(ii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Write a rule describing the sequence of numbers in Column 3 (Number of Dots Inside Triangle).
  5. 8(d)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate the area of the 12th triangle.
  6. 7(a)2 marks· CSEC Mathematics · 2021 · Paper 2Draw Figure 4 of the pattern in the space provided.
  7. 7(b)(i)2 marks· CSEC Mathematics · 2021 · Paper 2Complete the row for Figure 5.
  8. 7(b)(ii)2 marks· CSEC Mathematics · 2021 · Paper 2Complete the row where the Number of Lines (L) is 66.
  9. 7(b)(iii)2 marks· CSEC Mathematics · 2021 · Paper 2Complete the row for Figure n.
  10. 7(c)2 marks· CSEC Mathematics · 2021 · Paper 2Write a simplified expression, in terms of n, for the difference, d, between the number of lines and the perimeter of any figure, n.
  11. 7(a)2 marks· CSEC Mathematics · 2022 · Paper 2Draw the diagram for 4 tables using Arrangement L.
  12. 7(b)(i)2 marks· CSEC Mathematics · 2022 · Paper 2Complete the row numbered (i) for T = 4 tables in the table provided.
  13. 7(b)(ii)2 marks· CSEC Mathematics · 2022 · Paper 2Complete the row numbered (ii) where the number of chairs in Arrangement M is 130.
  14. 7(b)(iii)2 marks· CSEC Mathematics · 2022 · Paper 2Complete the row numbered (iii) giving the number of chairs for n tables for both Arrangement L and Arrangement M.
  15. 7(a)2 marks· Mathematics Q7 7(a)Draw Figure 4 of the sequence.
  16. 7(a)2 marks· Mathematics Q7 7(a)Draw Figure 4 of the sequence.
  17. 7(a)(i)1 mark· Mathematics Q7 7(a)(i)Show that the first term of the sequence is 1.
  18. 7(a)(i)2 marks· Mathematics Q7 7(a)(i)Complete Row (i) for Figure 5.
  19. 7(a)(ii)2 marks· Mathematics Q7 7(a)(ii)Complete Row (ii) where Number of Sticks (S) is 156.
  20. 7(a)(ii)1 mark· Mathematics Q7 7(a)(ii)What is the third term of the sequence?
  21. 7(a)(iii)3 marks· Mathematics Q7 7(a)(iii)Given that T_n = 145, what is the value of n?
  22. 7(a)(iii)2 marks· Mathematics Q7 7(a)(iii)Complete Row (iii) for Figure n.
  23. 7(b)(i)2 marks· Mathematics Q7 7(b)(i)Complete the row for Figure 4, including the number of squares (S) and perimeter (P).
  24. 7(b)(i)2 marks· Mathematics Q7 7(b)(i)Complete the rows numbered (i).
  25. 7(b)(i)2 marks· Mathematics Q7 7(b)(i)Determine the TOTAL number of dots in Figure 7 and Figure 8.
  26. 7(b)(i)2 marks· Mathematics Q7 7(b)(i)Write down the next two terms in the sequence, that is, U(9) and U(10).
  27. 7(b)(ii)2 marks· Mathematics Q7 7(b)(ii)Complete the row where the number of squares (S) is 43, including the figure number and perimeter (P).
  28. 7(b)(ii)2 marks· Mathematics Q7 7(b)(ii)Complete the rows numbered (ii).
  29. 7(b)(ii)1 mark· Mathematics Q7 7(b)(ii)Which term in the sequence is the sum of U(18) and U(19)?
  30. 7(b)(ii)2 marks· Mathematics Q7 7(b)(ii)Determine the TOTAL number of dots in Figure n and Figure (n + 1).
  31. 7(b)(iii)2 marks· Mathematics Q7 7(b)(iii)Complete the row for Figure n, including the number of squares (S) and perimeter (P).
  32. 7(b)(iii)2 marks· Mathematics Q7 7(b)(iii)Complete the rows numbered (iii).
  33. 7(b)(iii)2 marks· Mathematics Q7 7(b)(iii)Show that U(20) - U(19) = U(19) - U(17).
  34. 7(c)2 marks· Mathematics Q7 7(c)Show that no figure can have a perimeter of 100 units.
  35. 7(c)2 marks· Mathematics Q7 7(c)Determine the relationship between the number of squares, S, and the perimeter, P, of a figure.
  36. 8(a)2 marks· Mathematics Q8 8(a)Draw the FOURTH diagram in the sequence.
  37. 8(a)2 marks· Mathematics Q8 8(a)Draw Diagram 4 in the sequence.
  38. 8(a)2 marks· Mathematics Q8 8(a)In your answer booklet, draw the FOURTH diagram in the sequence.
  39. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 4, the next figure in the sequence above.
  40. 8(a)2 marks· Mathematics Q8 8(a)On your answer sheet, draw Figure 4, the FOURTH shape in the pattern.
  41. 8(a)2 marks· Mathematics Q8 8(a)Draw the fourth figure in the sequence.
  42. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 4 of the sequence.
  43. 8(a)2 marks· Mathematics Q8 8(a)On the answer sheet provided, draw the fourth figure (Figure 4) in the sequence.
  44. 8(a)2 marks· Mathematics Q8 8(a)Draw the fourth diagram in the sequence.
  45. 8(a)2 marks· Mathematics Q8 8(a)On your answer sheet, draw the FOURTH figure (Fig. 4) in the sequence.
  46. 8(a)2 marks· Mathematics Q8 8(a)On the answer sheet provided, draw Figure 4, the FOURTH figure in the sequence.
  47. 8(a)2 marks· Mathematics Q8 8(a)Draw a sketch of Diagram 4, the fourth diagram in the sequence.
  48. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 4 of the sequence.
  49. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 4 of the sequence in the space provided above.
  50. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 5 of the sequence in the space below.
  51. 8(a)2 marks· Mathematics Q8 8(a)Draw Figure 4 of the sequence.
  52. 8(a)2 marks· Mathematics Q8 8(a)Copy and complete the table of values: t (0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4) and h (0.0, 8.8, 15, 18.8, __, 18.8, __, 8.8, 0.0).
  53. 8(a)2 marks· Mathematics Q8 8(a)Draw the fourth figure in the sequence.
  54. 8(a)2 marks· Mathematics Q8 8(a)Sketch the geometrical pattern whose side is 5 cm long.
  55. 8(a)(i)2 marks· Mathematics Q8 8(a)(i)Determine the value of x.
  56. 8(a)(i)2 marks· Mathematics Q8 8(a)(i)On the answer sheet provided, draw the next shape in the sequence
  57. 8(a)(i)7 marks· Mathematics Q8 8(a)(i)Study the number pattern in the table below and complete lines (i), (ii) and (iii) in your answer booklet.
  58. 8(a)(i)3 marks· Mathematics Q8 8(a)(i)Complete the row for n=6 in the table.
  59. 8(a)(ii)2 marks· Mathematics Q8 8(a)(ii)Complete the row for n in the table.
  60. 8(a)(ii)1 mark· Mathematics Q8 8(a)(ii)Study the number pattern in the table below and complete lines (i), (ii) and (iii) in your answer booklet.
  61. 8(a)(ii)2 marks· Mathematics Q8 8(a)(ii)Determine the value of y.
  62. 8(a)(ii)a)4 marks· Mathematics Q8 8(a)(ii)a)insert appropriate values in columns 2 and 3 when n=4
  63. 8(a)(ii)b)1 mark· Mathematics Q8 8(a)(ii)b)insert appropriate values in columns 2 and 3 when n=7
  64. 8(a)(iii)1 mark· Mathematics Q8 8(a)(iii)Study the number pattern in the table below and complete lines (i), (ii) and (iii) in your answer booklet.
  65. 8(a)(iii)2 marks· Mathematics Q8 8(a)(iii)Determine the value of z.
  66. 8(b)4 marks· Mathematics Q8 8(b)Complete the table below by inserting the missing information at the rows numbered (i) and (ii).
  67. 8(b)4 marks· Mathematics Q8 8(b)Complete the table by inserting the missing values at the rows marked (i) and (ii).
  68. 8(b)1 mark· Mathematics Q8 8(b)How many dots would be in Figure 6?
  69. 8(b)8 marks· Mathematics Q8 8(b)Complete the table by inserting the appropriate values at the rows marked (i), (ii) and (iii).
  70. 8(b)2 marks· Mathematics Q8 8(b)Write down an expression for S in terms of n, where S represents the number of sticks used to make a pattern of n hexagons.
  71. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the table by inserting the missing values at the rows marked (i) for N=4.
  72. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)The table below shows the number of dots and lines in each figure. Study the pattern in the table and complete the table by inserting the missing values in the rows numbered (i), (ii), (iii) and (iv). (i) Figure 4
  73. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the table by inserting the missing values in the row numbered (i) for N=4.
  74. 8(b)(i)3 marks· Mathematics Q8 8(b)(i)Complete the table for the geometrical pattern whose side is 6 cm long.
  75. 8(b)(i)4 marks· Mathematics Q8 8(b)(i)Complete the table for Figure 4.
  76. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the row for Figure 4 in the table.
  77. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the row numbered (i) for Figure 4.
  78. 8(b)(i)1 mark· Mathematics Q8 8(b)(i)How many sticks are in the SIXTH diagram?
  79. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the rows numbered (i), (ii), (iii) and (iv). For Figure 4, fill in 'Number of Unit Squares' and 'Perimeter of Figure'.
  80. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the row for Figure 4 in the table.
  81. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Study the patterns in the table below, and on your answer sheet, complete the row numbered (i) for Figure 4.
  82. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the row for No. of Trapezia (n) = 4.
  83. 8(b)(i)1 mark· Mathematics Q8 8(b)(i)Complete the table by inserting the missing value for Figure (n) = 4.
  84. 8(b)(i)5 marks· Mathematics Q8 8(b)(i)Determine the value of a.
  85. 8(b)(i)1 mark· Mathematics Q8 8(b)(i)Using the pattern observed in these two statements, determine the sum of the series: 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3
  86. 8(b)(i)2 marks· Mathematics Q8 8(b)(i)Complete the table by inserting appropriate values at r
  87. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the row for Number of Unit Triangles = 144 in the table.
  88. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the rows numbered (i), (ii), (iii) and (iv). For 'Number of Unit Squares' = 45, fill in 'Figure' and 'Perimeter of Figure'.
  89. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)The table below shows the number of dots and lines in each figure. Study the pattern in the table and complete the table by inserting the missing values in the rows numbered (i), (ii), (iii) and (iv). (ii) Figure 10
  90. 8(b)(ii)4 marks· Mathematics Q8 8(b)(ii)Complete the table for Figure 10.
  91. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the row numbered (ii) where the perimeter of the figure is 19 + 20 + 2 = 41.
  92. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the table for the geometrical pattern whose side is 20 cm long.
  93. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the table by inserting the missing value for Figure (n) = 10.
  94. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Study the patterns in the table below, and on your answer sheet, complete the row numbered (ii) where the Area of Triangle is 100.
  95. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the row for Figure 5 in the table.
  96. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the row for No. of Trapezia (n) = 10.
  97. 8(b)(ii)3 marks· Mathematics Q8 8(b)(ii)Complete the table by inserting the missing values in the row numbered (ii) where S=255.
  98. 8(b)(ii)4 marks· Mathematics Q8 8(b)(ii)Complete the table by inserting the missing values at the rows marked (ii) for N=20.
  99. 8(b)(ii)5 marks· Mathematics Q8 8(b)(ii)Determine the value of b.
  100. 8(b)(ii)1 mark· Mathematics Q8 8(b)(ii)How many thumb tacks are in the SEVENTH diagram?
  101. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Using the pattern observed in these two statements, determine the sum of the series: 1^3 + 2^3 + 3^3 + ... + n^3.
  102. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Complete the table by inserting appropriate values at s
  103. 8(b)(iii)5 marks· Mathematics Q8 8(b)(iii)Determine the value of c.
  104. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Study the patterns in the table below, and on your answer sheet, complete the row numbered (iii) for Figure 20.
  105. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the row numbered (iii) where the number of toothpicks in the pattern is 127.
  106. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the row where No. of Triangles = 64.
  107. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the row for Figure 15 in the table.
  108. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the rows numbered (i), (ii), (iii) and (iv). For 'Figure' = 30, fill in 'Number of Unit Squares' and 'Perimeter of Figure'.
  109. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the row for Figure 25 in the table.
  110. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Complete the table by inserting the missing value for No. of Squares = 50.
  111. 8(b)(iii)3 marks· Mathematics Q8 8(b)(iii)Complete the table by inserting the missing values in the row numbered (iii) for N=10.
  112. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)The table below shows the number of dots and lines in each figure. Study the pattern in the table and complete the table by inserting the missing values in the rows numbered (i), (ii), (iii) and (iv). (iii) Figure with…
  113. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Complete the row for No. of Trapezia (n) = n.
  114. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)The table below shows the number of dots and lines in each figure. Study the pattern in the table and complete the table by inserting the missing values in the rows numbered (i), (ii), (iii) and (iv). (iv) Figure N
  115. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Study the patterns in the table below, and on your answer sheet, complete the row numbered (iv) for Figure n.
  116. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Complete the row for Figure n in the table.
  117. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Complete the row numbered (iv) for Figure n.
  118. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Complete the row for Figure n in the table.
  119. 8(b)(iv)3 marks· Mathematics Q8 8(b)(iv)Complete the table by inserting the missing value for Figure (n) = n.
  120. 8(b)(iv)2 marks· Mathematics Q8 8(b)(iv)Complete the rows numbered (i), (ii), (iii) and (iv). For 'Figure' = n, fill in 'Number of Unit Squares' and 'Perimeter of Figure'.
  121. 8(c)2 marks· Mathematics Q8 8(c)The table below shows how the number of unit lengths in each side of a figure is related to the number of basic triangles in that figure. Copy and complete the table.
  122. 8(c)2 marks· Mathematics Q8 8(c)Complete the row which corresponds to Figure 11 in the table above.
  123. 8(c)2 marks· Mathematics Q8 8(c)Write an expression in f for the number (n) of dots used in drawing the fth figure.
  124. 8(c)4 marks· Mathematics Q8 8(c)Copy and complete the table below which shows the length of the chain formed when rings are linked in a straight line.
  125. 8(c)3 marks· Mathematics Q8 8(c)Hence, complete the table for the geometrical pattern whose side is n cm long.
  126. 8(c)2 marks· Mathematics Q8 8(c)Which figure in the sequence uses 106 straws?
  127. 8(c)2 marks· Mathematics Q8 8(c)Hence, or otherwise, determine the EXACT value of the sum of the series: 1^3 + 2^3 + 3^3 + 4^3 + ... + 12^3
  128. 8(c)3 marks· Mathematics Q8 8(c)Write down, in terms of n, the number of squares in the n^th diagram of the sequence.
  129. 8(c)(i)1 mark· Mathematics Q8 8(c)(i)How many dots are in the sixth diagram of the sequence?
  130. 8(c)(i)1 mark· Mathematics Q8 8(c)(i)Write the rule which may be used to find the value of W where N is known.
  131. 8(c)(i)2 marks· Mathematics Q8 8(c)(i)Complete the table by inserting the missing values at the rows marked (i) and (ii). (i) s=52, find t.
  132. 8(c)(ii)1 mark· Mathematics Q8 8(c)(ii)How many line segments are in the seventh diagram of the sequence?
  133. 8(c)(ii)1 mark· Mathematics Q8 8(c)(ii)Write the rule which may be used to find the value of B where N is known.
  134. 8(c)(ii)2 marks· Mathematics Q8 8(c)(ii)Complete the table by inserting the missing values at the rows marked (i) and (ii). (ii) t=55, find s.
  135. 8(c)(iii)2 marks· Mathematics Q8 8(c)(iii)Write the rule which shows how l is related to d.
  136. 8(d)2 marks· Mathematics Q8 8(d)Which figure in the sequence contains 145 dots?
  137. 8(d)2 marks· Mathematics Q8 8(d)Determine which figure in the sequence has 210 dots.
  138. 8(d)2 marks· Mathematics Q8 8(d)Obtain an expression in n, for the total number of straws used in the nth pattern.
  139. 8(d)2 marks· Mathematics Q8 8(d)Write the rule, in terms of s and t, to show how t is related to s.
  140. 8(e)1 mark· Mathematics Q8 8(e)Write a simplified algebraic expression for the number of dots, d, in the Figure n.
  141. 8(f)2 marks· Mathematics Q8 8(f)Show that there is no diagram that has exactly 1000 dots.
  142. 8(i)2 marks· Mathematics Q8 8(i)Calculate the number of triangles formed when n = 3.
  143. 8(ii)2 marks· Mathematics Q8 8(ii)Determine the number of triangles formed when n = 6.
  144. 8(iii)3 marks· Mathematics Q8 8(iii)Calculate the value of n.
  145. 8(iv)3 marks· Mathematics Q8 8(iv)Determine the number of small triangles in a shape after carrying out the procedure m times.

Related topics in NUMBER THEORY AND COMPUTATION