Junior Cycle (Ireland) · Mathematics

Measures, Shape and Space

29 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

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A cylinder has base radius $3$ cm and height $8$ cm. Find its volume in cm $^{3}$ .
A cone has base radius $5$ cm and height $9$ cm. Find its volume in cm $^{3}$ .
A cylinder has base radius $6$ cm and height $3$ cm. Find its volume in cm $^{3}$ .
A cone has base radius $7$ cm and height $9$ cm. Find its volume in cm $^{3}$ .
A cylinder has base radius $7$ cm and height $11$ cm. Find its volume in cm $^{3}$ .
A right-angled triangle has hypotenuse $34$ cm and one other side $16$ cm. Find the third side in cm.
A right-angled triangle has hypotenuse $13$ cm and one other side $5$ cm. Find the third side in cm.
In a right-angled triangle the two perpendicular sides are $7$ cm and $24$ cm. Find the length of the hypotenuse in cm.
In a right-angled triangle the two perpendicular sides are $12$ cm and $16$ cm. Find the length of the hypotenuse in cm.
Find the slope of the line through $(2, - 2)$ and $(3, 2)$ .
Find the midpoint of $A (- 6, - 5)$ and $B (6, - 7)$ .
A line with slope $4$ passes through $(1, 6)$ . Find its $y$ -intercept.
Find the slope of the line through $(4, 2)$ and $(8, 18)$ .
Find the slope of the line through $(- 4, - 3)$ and $(- 3, 1)$ .
A line with slope $- 3$ passes through $(3, - 11)$ . Find its $y$ -intercept.
Find the slope of the line through $(2, 2)$ and $(5, 11)$ .
Find the distance between $P (- 4, - 4)$ and $Q (4, 11)$ .
Find the distance between $P (- 4, 3)$ and $Q (4, 18)$ .
Find the sum of the interior angles of a polygon with 8 sides, in degrees.
Find the size of one exterior angle of a regular polygon with 10 sides, in degrees.
Find the size of one exterior angle of a regular polygon with 5 sides, in degrees.
A sector has radius $6$ cm and angle $12 0^{\circ}$ . Find its area in cm $^{2}$ .
A sector has radius $6$ cm and angle $6 0^{\circ}$ . Find its arc length in cm.
Two similar solids have corresponding lengths in the ratio $3 : 4$ . The smaller solid has volume $54$ cm $^{3}$ . Find the volume of the larger solid in cm $^{3}$ .
Two similar figures have corresponding lengths in the ratio $4 : 5$ . The smaller figure has area $96$ cm $^{2}$ . Find the area of the larger figure in cm $^{2}$ .
Two similar figures have corresponding lengths in the ratio $2 : 5$ . The smaller figure has area $12$ cm $^{2}$ . Find the area of the larger figure in cm $^{2}$ .
A circle has area $49 π$ cm $^{2}$ . Find its circumference in cm.
Find the area of a circle with diameter $10$ cm, in cm $^{2}$ .
A circle has area $100 π$ cm $^{2}$ . Find its circumference in cm.

Measures, Shape and Space

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