ICSE Class 10

ICSE Class 10 Reflection — Mock Test (2027)

Free online mock test for Reflection (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

What to expect: This mock test covers key concepts from the Reflection chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.

Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.

Sample questions

  1. 1.A point $P(7, -5)$ is first reflected in $x$-axis to point $Q$ and then $Q$ is reflected in $y$-axis to point $R$. The co-ordinates of point $Q$ and $R$ are respectively:
    • A.(-7, 5) and (7, -5)
    • B.(-7, 5) and (7, 5)
    • C.(7, -5) and (-7, 5)
    • D.(7, 5) and (-7, 5)
  2. 2.Use the graph paper for this question. Plot the points A(8, 2) and B(6, 4). These two points are vertices of a figure which is symmetrical about x = 6 and y = 2. Complete the figure on the graph. What is the geometrical name of the figure formed?
    • A.Rectangle
    • B.Square
    • C.Rhombus
    • D.Kite
  3. 3.Point A(5, -1) is reflected in the x-axis to obtain A' and in the y-axis to obtain A''. What are the coordinates of A' and A'' and the distance between A' and A''?
    • A.A' = (5, 1), A'' = (-5, -1), Distance = √104 units
    • B.A' = (-5, 1), A'' = (5, -1), Distance = √100 units
    • C.A' = (5, -1), A'' = (-5, 1), Distance = √108 units
    • D.A' = (5, 1), A'' = (-5, 1), Distance = √104 units
  4. 4.Point P(a, b) is reflected in the x-axis to P'(5, -2). What are the values of a and b?
    • A.a = 5, b = -2
    • B.a = 5, b = 2
    • C.a = -5, b = 2
    • D.a = -5, b = -2
  5. 5.Assertion (A): The reflection of the point $(2, 3)$ in the origin is $(3, 2)$. Reason (R): The reflection of the point $P(a, b)$ in the origin is the point $(-a, -b)$. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
    • A.Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
    • B.Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
    • C.Assertion (A) is true but reason (R) is false.
    • D.Assertion (A) is false but reason (R) is true.

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