Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): A 2 m wide track inside a 36 m by 24 m rectangle has outer perimeter 16 m greater than its inner perimeter.
Reason (R): The inner dimensions are 32 m by 20 m, so \(120-104=16\) m.

Two-metre inner track

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 2 of 6

Assertion (A): The displayed 15 m by 12 m floor has area 180 m².
Reason (R): The separate triangle of base 18 cm and height 10 cm has area 90 cm².

A 15 m by 12 m floor beside a triangle of base 18 cm and height 10 cm.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 3 of 6

Assertion (A): A triangle with sides 5 cm, 6 cm and 8 cm has perimeter 20 cm.
Reason (R): Its three sides total \(5+6+8=19\) cm.

Triangle side lengths

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 4 of 6

Assertion (A): An 8 cm by 5 cm rectangle has perimeter 26 cm.
Reason (R): Its perimeter is \(2×(8+5)=26\) cm.

An 8 cm by 5 cm rectangle

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 5 of 6

Assertion (A): A rectangle with area 108 cm² and perimeter 42 cm has dimensions 12 cm by 9 cm.
Reason (R): The dimensions satisfy \(12×9=108\) and \(2(12+9)=42\).

Rectangle with unknown sides

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 6 of 6

Assertion (A): Rearranging six unit squares from a 3 by 2 rectangle into a 6 by 1 strip doubles the area to 12 square units.
Reason (R): Both arrangements still contain exactly six non-overlapping unit squares.

Six tiles rearranged

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

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