Mathematics Paper Notes

Cambridge Lower Secondary Checkpoint Mathematics Paper Overview

  • Document Information:

    • Document designed for Cambridge Lower Secondary Checkpoint Mathematics

    • Paper ID: 0862/01

    • Date: April 2023

    • Duration: 1 hour

    • Total marks for paper: 50

Instructions

  • General Guidelines:

    • Answer all questions in the provided space

    • Use a black or dark blue pen. HB pencil is permitted for diagrams or graphs

    • Write personal details including name, centre number, and candidate number at the top of the page

    • Display all workings

    • Calculator use is prohibited

  • Important Notes:

    • No answers should be written on bar codes

    • Avoid using erasable pens or correction fluids

Question Breakdown

Question 1

  • A regular polygon with exactly 8 lines of symmetry

    • Assess the following statements:

    • Statement: The polygon has 16 sides.

      • Answer Choices: True / False / Cannot tell

    • Statement: The polygon has rotational symmetry of order 8.

      • Answer Choices: True / False / Cannot tell

Question 2

  • Carlos rolls a fair six-sided die 60 times

    • Calculation Required: Expected number of times Carlos rolls a 3

Question 3

  • Organizing calculations into a table

    • Calculations Provided:

    • A) 7×6

    • B) 75×7

    • C) 76÷70

    • D) 72×73

    • Task: Indicate whether equal to or not equal to 76

Question 4

  • Task: Expand and simplify the expression (c + 4)(c + 10)

Question 5

  • Match calculations to their answers

    • Example Provided: 5 × 10^-1 = 0.005

    • Other Calculations:

    • 0.05 × 10^4

    • 5 ÷ 10^-3

    • 0.5 ÷ 10^2

Question 6

  • Task: Evaluate ( )^4 10 2 − x when x = 4

Question 7

  • Calculate the surface area of a pyramid

    • Given Dimensions:

    • Square base side length: 10 cm

    • Height of triangular faces: 12 cm

Question 8

  • Task: Identify the number pointed by the arrow among the options given: 11, 22, 30, 35

Question 9

  • Analyze the increase in visitors in a town represented by a graph

    • Question: Suggest one reason why the graph might be misleading

Question 10

  • Statement to Complete:

    • n is equivalent to a recurring decimal, where n is a whole number.

    • Safia claims n must be greater than 5. Complete the sentence acknowledging an alternative value for n.

Question 11

  • (a) Convert 70000 to standard form

  • (b) Convert 7.5 × 10^-3 to an ordinary number

Question 12

  • Evaluate Eva’s method for drawing a perpendicular bisector:

    • Steps Provided:

    1. Draw an arc of radius 5 cm from center A

    2. Draw an arc of radius 6 cm from center B

    3. Connect intersection points of the arcs with a line

    • Question: Explain why Eva’s method is incorrect

Question 13

  • Rearranging the formula y/w = -2

    • Task: Identify the correct rearrangement of the formula

Question 14

  • (a) Write down the value of 7 3 × 5 × 3 7

  • (b) Calculate 9/10 ÷ 2/25 and express the answer as a fraction in simplest form

Question 15

  • Order the storage capacities of three gaming consoles: 500000 MB, 32 GB, and 1 TB

Question 16

  • Visualization Task: Draw triangle U after transformations of triangle T

    • Triangle T to be rotated by 180° about center (0, 0) followed by another 180° about center (0, -3)

    • Additional Task: Identify the type of transformation used

Question 17

  • Analyze frequency distribution based on the mass of boxes

  • Mass Bins Given:

    • 14 ≤ x < 16: 10

    • 16 ≤ x < 18: 7

    • 18 ≤ x < 20: 13

    • 20 ≤ x < 22: 20

    • 22 ≤ x < 24: 20

  • (a) Identify the interval containing the median

  • (b) Draw a frequency polygon for the data

Question 18

  • Find terms in a sequence where nth term is n² + 5

    • Goal: Find the 7th term

  • (b) Identify the nth term of the sequence: 0, 3, 8, 15, 24

Question 19

  • Task: Find coordinates on line y = 5 - 3x with specific requirements regarding the x and y values

Question 20

  • Chen records the length, in millimetres, of 10 shells.

    • Data: 34, 46, 37, 55, 38, 52, 68, 40, 31, 47

    • Task: Draw a correct stem-and-leaf diagram for the data

Question 21

  • Geometry of rectangle ABCD with given angles

    • Calculate: Angle marked x in the context of geometry properties in parallel lines

Question 22

  • Temperature Analysis:

    • Graph representing the temperature of water in a swimming pool over a period of time

    • Question: Project temperature at 11 am, assuming the graph's trend continues

Question 23

  • Analyze counter distributions in jars belonging to Oliver and Angelique

    • Oliver's jar: 42 total counters, green:red = 3:4

    • Angelique's jar: seek total under certain conditions

Question 24

  • Determine possible values for integers a, b, and h given the area of a trapezium as 24.5 cm²

    • Conditions: a < b and a, b, h all greater than 1

Question 25

  • Solve an nopresented in various forms

    • Example: 12 + 3x = 5 - 2x settings in the equation

Additional Information

  • Documenting Errors: State outlines error corrections when errors are found in diagrams or calculations

  • Ethical Compliance: Permissions regarding copyrighted items included in the document are acknowledged

Conclusion

  • Final note reaffirms the framework and expectations set within the Cambridge Assessment International Education structure.