Example - Problem Pairs
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1. Arithmetic: Addition
2. Arithmetic: Division
3. Arithmetic: Four operations
4. Arithmetic: Multiplication
5. Arithmetic: Subtraction
6. Bounds: Error Intervals
7. Circles: Area
8. Circles: Circumference
9. Circles: Stating the equation
10. Converting units: Time
11. Cubic Graphs: Completing a table of values
12. Differences
13. Directed number: Addition with negatives
14. Directed number: Calculating across zero
15. Directed number: Division with negatives
16. Directed number: Mixed operations with negatives
17. Directed number: Multiplication with negatives
18. Directed number: Negative temperatures
19. Directed number: Rewriting as a sum
20. Directed number: Subtraction with negatives
21. Doubling
22. Equations: If ... then ...
23. Equations: Mixed
24. Equations: Solving equations involving ratio
25. Equations: Solving linear simultaneous
26. Equations: Solving monic quadratics by factorisng
27. Equations: Solving non-monic quadratics by factorisng
28. Equations: Solving one-step equations
29. Equations: Solving two-step equations
30. Equations: Solving with brackets both sides
31. Equations: Solving with brackets one side
32. Equations: Solving with unknowns on both sides
33. Expressions: Algebraic division in one variable
34. Expressions: Algebraic division in two variables
35. Expressions: Collecting like terms
36. Expressions: Completing the square
37. Expressions: Expanding binomials to monic quadratics
38. Expressions: Expanding binomials to non-monic quadratics
39. Expressions: Expanding brackets and simplifying
40. Expressions: Expanding single brackets
41. Expressions: Factorising into single brackets
42. Expressions: Factorising monic quadratics
43. Expressions: Factorising non-monic quadratics
44. Expressions: Multiplying terms
45. Expressions: Substitution
46. Factors
47. FDP: Converting from decimals
48. FDP: Converting from fractions
49. FDP: Converting from percentages
50. FDP: Converting mixed
51. FDP: Converting recurring decimals to fractions
52. FDP: Of one amount to another
53. FDP: Using decimals to find fractions
54. Fractions: Addition and subtraction
55. Fractions: Converting improper to mixed
56. Fractions: Converting mixed to improper
57. Fractions: Division
58. Fractions: Four operations
59. Fractions: Increase and decrease
60. Fractions: Integers between improper fractions
61. Fractions: Multiplication
62. Fractions: Of amounts
63. Fractions: Of one amount to another
64. Fractions: Simplifying
65. Functions: Find an input given an output
66. Functions: Find an output given an input
67. Graphs: Gradient between two points on a line
68. Graphs: Midpoint between two points on a line
69. Halving
70. Indices: Division law
71. Indices: Mixed Laws
72. Indices: Multiplication law
73. Indices: Power law
74. Inequalities: Solving 1 step
75. Inequalities: Solving 2 step
76. Inequalities: Solving unknowns on both sides
77. Linear Graphs: Completing a table of values
78. Metric units: Converting lengths
79. Metric units: Converting mixed units
80. Metric units: Converting volume
81. Metric units: Converting weights
82. Money: Adding coins
83. Money: Counting coins
84. Multiples
85. Number bonds: Adding close powers of ten
86. Number bonds: Addition and Subtraction
87. Order of Operations: Addition and Subtraction
88. Order of Operations: Multiplication and Division
89. Percentages: Change
90. Percentages: Increase and decrease
91. Percentages: Multipliers
92. Percentages: Of amounts
93. Percentages: Of one amount to another
94. Percentages: Repeated change
95. Percentages: Reverse
96. Place Value: Multiplying and dividing by powers of ten
97. Place Value: Ordering numbers
98. Place Value: Powers
99. Polygons: Sides
100. Powers and roots
101. Prime Factors: Adding and subtracting surds
102. Prime Factors: Consecutive integer product
103. Prime Factors: Expressing as a product
104. Prime Factors: Highest common factors (HCF)
105. Prime Factors: How many factors
106. Prime Factors: Lowest common multiples (LCM)
107. Prime Factors: Missing products
108. Prime Factors: Multiplying surds
109. Prime Factors: Rationalising the denominator of a fraction with a surd
110. Prime Factors: Recurring or terminating decimals
111. Prime Factors: Simplifying surds
112. Probability: Expected frequency
113. Probability: Simple events
114. Proportion: Unitary method
115. Pythagoras: Distance between two points on a line
116. Quadratic Graphs: Completing a table of values
117. Quadratics: Find equation given turning point
118. Ratio: Changing
119. Ratio: Combining two ratios into one
120. Ratio: Find a share given another
121. Ratio: Find a share given the difference
122. Ratio: Mixed
123. Ratio: Sharing a given total
124. Ratio: Simplifying
125. Ratio: Writing as a fraction
126. Ratio: Writing in the form 1:n or n:1
127. Rounding
128. Sequences: Fibonacci
129. Sequences: Finding a linear nth term rule
130. Sequences: Finding a quadratic nth term rule
131. Sequences: Finding a specific term
132. Sequences: Finding the next term
133. Sequences: Generating terms
134. Sequences: Geometric
135. Speed, distance, time
136. Standard Form: Addition
137. Standard Form: Converting from
138. Standard Form: Converting to
139. Standard Form: Division
140. Standard Form: Multiplication
141. Standard Form: Subtraction
142. Statistics: Averages and range
143. Statistics: Mean
144. Statistics: Median
145. Statistics: Mode
146. Statistics: Range
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