Table of Content (classified Paper 2 questions)
Cambridge lower secondary checkpoint (year 8)
Page
• Unit 1: (Numbers) Integers, Numbers and Calculations
- Number Sets (rational and irrational numbers)
- Factors, Multiples, Prime Factorization
2 - 5
6 -8
(Highest common Factor (HCF) and Lowest Common Multiple (LCM)
How to Add, Subtract, Multiply and Divide Integers (negative numbers)
Square roots and Cube roots
Laws of indices and surds
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End of unit test
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• Unit 2 : (Algebra) Expressions, Equations, Formulas and Inequality
- Substitution into expressions and collecting like terms
- Expanding Brackets and product of two brackets
- Factorizing
- Simplifying algebraic fractions
- Constructing Expressions and Equations
- Using formulas and change the subject of the formula
- Inequality
- Solve simultaneous equations algebraically
- Solving Quadratic equations (try and error method
End of unit test
9 - 10
11 - 13
14 - 16
17 - 20
21
22 - 27
28 - 32
33
34 - 35
36 - 55
56 - 59
60 - 64
65
66 - 73
74 - 82
• Unit 3: (Decimals) Ordering, Rounding and Operations
- Rounding numbers – Significant Figure
- Multiplying and Dividing decimals with multiples of 10
- Ordering decimals
- Multiply and Dividing decimals
- Upper and Lower Limits of a rounded Number
End of unit test
83
84 - 90
91
92 - 93
94 - 99
100 – 101
102 - 108
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• Unit 4 (Percentage)
109 - 122
- Percent of change, using multiplier in percentage and compound percentage
End of unit test
123 - 124
• Unit 5 : (Geometry) Parallel lines , Polygons interior and exterior angles
relationships, Constructions and Pythagorean theorem
125
- Angle relationships in parallel lines
126 - 127
- Polygons interior and exterior angles
128 - 130
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131 - 135
136 - 140
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(including angles in Triangles and Quadrilaterals)
Angles Relationships
Constructions
▪ Angle bisectors
▪ Perpendicular bisectors
▪ Constructing triangles
▪ Constructing polygons
Pythagorean theorem
• Unit 6 : (Statistics) Data handling and Sampling
141 - 143
144 - 150
151 - 163
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(Selecting the method of collecting samples and Bias Data)
End of unit test
164 - 169
• Unit 7 : (Geometry) Shapes, measurements, Symmetry & 3D shapes 170
- Large and small units
171 - 181
- Quadrilaterals and Polygons properties, symmetry and tessellation
182 - 192
- Perimeter and Area of 2D shapes
193 - 198
- Parts of a circle, circumference and area of a circle
199 - 205
- Area of compound shapes
206 - 215
- 3D shapes (front , plan and side view)
216 – 220
End of unit test
221 - 228
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• Unit 8 : (Fractions)
- Fractions and Recurring decimals
- Ordering fractions
- Adding and Subtracting fractions and mixed numbers
- Multiplying and dividing fractions and mixed numbers
229
230 - 231
232 - 233
234
235 - 236
End of unit test
237 - 244
• Unit 9: Sequence and functions
- Pattern, Sequence and nth term
- Representing Functions
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245
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End of unit test
End of unit test
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• Unit 10: Graphs and Linear functions
- Plotting Graphs
- Gradient and intercepts (y = mx + c)
- Interpreting Function Graphs
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• Unit 11: Ratio, Rate and proportions
- Simplifying Ratios
- Using ratio and unit rate
- Sharing Quantity into a given ratio
- Direct and Inverse Proportion
End of unit test
246 - 253
254 - 259
260 - 268
269
270 - 281
282 - 295
296 - 300
301 - 306
307
308 - 310
311 - 327
328 - 333
334 - 341
342 - 345
• Unit 12: Probability
- Experimental, Theoretical and Tree Diagram probability
End of unit test
346
347 - 376
377 - 382
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• Unit 13: Positions and Transformations
- Bearing and Scale Drawing
- Midpoint Formula and Coordinate Plane
- Transformations
▪
▪
▪
▪
383
384 - 392
393 - 396
397 - 420
Translation
Reflection
Rotation
Enlargement
End of unit test
421 - 428
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• Unit 14: Volume, Surface Area and Symmetry of 3D Shapes
- Volume of Prisms
- Surface Area of 3D Shapes
- Symmetry of 3D Shapes
End of unit test
430 - 444
445 - 455
456 - 457
458 - 462
• Unit 15: Data Handling
- Grouped Data (Mean, Mode, Median and range)
- Graph and Interpret
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464 - 467
Frequency Tables, Frequency table and diagrams and Bar charts
Speed, Time Series and Line Graphs
Scatter Plot Graphs
Stem and Leaf Diagrams
Pie Charts
Two-way table and Venn Diagrams
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▪
▪
▪
▪
▪
▪
429
End of unit test
468 - 484
485 - 505
506 - 516
517 - 521
522 - 529
530 – 531
532 - 543
Answer Key
Answer key
Units
1,2,3
Units
4,5,6,7
Answer key
Answer Key
Units
8 , 9 10 , 11
Units
iv
12 , 13 ,14 ,15
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Unit 1 : (Integers , Number and Calculations)
o Number Sets (rational and irrational numbers)
o Factors, Multiples , Prime Factorization
- Highest common Factor (HCF) and Lowest Common Multiple (LCM)
o How to Add , Subtract , Multiply and Divide Integers (Direct Numbers)
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o Square roots and cube roots
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o Laws of indices and surds
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o Standard form
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Checkpoint Questions Paper 2
(Number sets – Rational and Irrational numbers):
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Progression Test year 8 (2023)
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Progression Test year 9 (2023)
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April 2023
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Progression Test year 8 (2022)
Progression Test year 8 (2022)
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Checkpoint Questions Paper 2
(Factors , multiples , prime factorize , HCF and LCM):
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April 2022
April 2021
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October 2022
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October 2021
October 2020
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October 2016
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Progression Test year 9 (2018)
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Checkpoint Questions Paper 2
(Order of Operations and operations with Intigers):
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October 2022
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October 2020
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April 2021
April 2019
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April 2018
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October 2019
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Checkpoint Questions Paper 2
(Square roots and Cubic roots):
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Progression text year 8 (2024)
April 2021
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April 2022
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April 2024
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April 2020
October 2019
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April 2019
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April 2018
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April 2017
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Checkpoint Questions Paper 2
(Laws of Indices):
Progression Test year 9 (2020)
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April 2019
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April 2020
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Progression test year 9 (2018)
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April 2016
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October 2018
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October 2016
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Stage 8 End of Unit 1 Test
1 Work out
a −3 × −5
____________________________________________________________________________
[1]
b −32 ÷ 4
[1]
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c −2 × (1 + −8)
[1]
2 a Find the highest common factor of 24 and 32. __________________________________
[1]
b Find the lowest common multiple of 6 and 9. __________________________________
[1]
3 Find the prime factors of 44. ___________________________________________________
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4 a Using a tree diagram, or otherwise, write 200 as a product of prime factors.
____________________________________________________________________________
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[2]
5 a
280 = 23 × 5 × 7
Use this fact to find the highest common factor of 200 and 280.
____________________________________________________________________________
[2]
b Find the lowest common multiple of 200 and 280.
____________________________________________________________________________
6
[2]
35 = 243
Use this fact to find 36. Show your method.
____________________________________________________________________________
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____________________________________________________________________________
1
121
−64
49
160
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7 Circle the square numbers in this list.
−81
[1]
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8 125 = 53 and 15625 = 56 in index form.
[1]
Write the answers to these calculations in index form.
[1]
b 15625 ÷ 125 ______________________________________________________________
[1]
9 a Show that 64 is a cube number. ______________________________________________
[1]
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a 125 × 15625 ______________________________________________________________
b Show that 100 is not a cube number. __________________________________________
[1]
10 Find the possible values of n when
a n 2 = 36 __________________________________________________________________
[1]
b n 3 = −27 _________________________________________________________________
[1]
[TOTAL: 20 Marks]
END OF TEST
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Stage 9 End of unit 1 test
1 Write down the numbers in this list that are irrational.
−2.7
2
7
27
3
27
2 ×7
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b Write down two irrational numbers with a sum of 4.
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2 a Show that 5 × 20 is an integer.
[1]
[1]
40
b
44
c
4 −2
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3 Write each of these numbers without using indices.
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4 Find an irrational number that is between
a 1 and 2
b 9 and 10.
[2]
5 Write these numbers in standard form.
a 6 320 000
b 0.000 012 9
[2]
6 Here are three numbers:
x = 3.5 × 105
y = 8.4 ×104
z = 2.989 × 105
Cambridge Lower Secondary Mathematics 9 – Byrd, Byrd & Pearce © Cambridge University Press 2021
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 9: END OF UNIT 1 TEST
a Write down number x in full.
[1]
b List the three numbers in order of size, smallest first.
[1]
7 a Here is a statement: 17 < 300 < 18
Is the statement true or false? Give a reason for your answer.
[1]
b Here is a statement: 7 < 3 300 < 8
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Is the statement true or false? Give a reason for your answer.
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8 Write each number as a power of 2.
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a 32
b 1
1
8
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9 a Write 53 × 54 as a power of 5.
[1]
b Write 63 ÷ 65 as a power of 6.
[1]
[Total: 20 marks]
END OF TEST
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