Maths4U Original · Short practice

A rectangle has length 10 cm and width 2 cm. Separately, a triangle and a parallelogram each have base 10 cm and perpendicular height 4 cm. A trapezium has parallel sides 10 cm and 12 cm and perpendicular height 4 cm.

Find the rectangle perimeter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 4 cm and width 3 cm. Separately, a triangle and a parallelogram each have base 4 cm and perpendicular height 5 cm. A trapezium has parallel sides 4 cm and 7 cm and perpendicular height 5 cm.

Find the rectangle perimeter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 4 cm and width 3 cm. Separately, a triangle and a parallelogram each have base 4 cm and perpendicular height 5 cm. A trapezium has parallel sides 4 cm and 7 cm and perpendicular height 5 cm.

Find the triangle area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 5 cm and width 4 cm. Separately, a triangle and a parallelogram each have base 5 cm and perpendicular height 6 cm. A trapezium has parallel sides 5 cm and 9 cm and perpendicular height 6 cm.

Find the triangle area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 5 cm and width 4 cm. Separately, a triangle and a parallelogram each have base 5 cm and perpendicular height 6 cm. A trapezium has parallel sides 5 cm and 9 cm and perpendicular height 6 cm.

Find the parallelogram area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 6 cm and width 5 cm. Separately, a triangle and a parallelogram each have base 6 cm and perpendicular height 7 cm. A trapezium has parallel sides 6 cm and 11 cm and perpendicular height 7 cm.

Find the parallelogram area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 6 cm and width 5 cm. Separately, a triangle and a parallelogram each have base 6 cm and perpendicular height 7 cm. A trapezium has parallel sides 6 cm and 11 cm and perpendicular height 7 cm.

Find the trapezium area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangle has length 7 cm and width 6 cm. Separately, a triangle and a parallelogram each have base 7 cm and perpendicular height 8 cm. A trapezium has parallel sides 7 cm and 13 cm and perpendicular height 8 cm.

Find the trapezium area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 4 cm. A semicircle is formed by cutting along a diameter.

Find the diameter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 5 cm. A semicircle is formed by cutting along a diameter.

Find the diameter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 5 cm. A semicircle is formed by cutting along a diameter.

Write the full circumference as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 6 cm. A semicircle is formed by cutting along a diameter.

Write the full circumference as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 6 cm. A semicircle is formed by cutting along a diameter.

Write the full circle area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 7 cm. A semicircle is formed by cutting along a diameter.

Write the full circle area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 7 cm. A semicircle is formed by cutting along a diameter.

The semicircle perimeter is aπ+b cm. Find b.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 8 cm. A semicircle is formed by cutting along a diameter.

The semicircle perimeter is aπ+b cm. Find b.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 4 cm and central angle \(72\)°.

Find the fraction of a complete circle occupied by the sector.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 5 cm and central angle \(60\)°.

Find the fraction of a complete circle occupied by the sector.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 5 cm and central angle \(60\)°.

Write its arc length as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 6 cm and central angle \(45\)°.

Write its arc length as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 6 cm and central angle \(45\)°.

Write its area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 7 cm and central angle \(180\)°.

Write its area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 7 cm and central angle \(180\)°.

Its perimeter is aπ+b cm. Find b.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sector has radius 8 cm and central angle \(120\)°.

Its perimeter is aπ+b cm. Find b.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 5 cm. Its minor sector angle is 95°; consider the corresponding major sector.

Find the major angle in degrees.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 6 cm. Its minor sector angle is 96°; consider the corresponding major sector.

Find the major angle in degrees.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 6 cm. Its minor sector angle is 96°; consider the corresponding major sector.

Write the major arc length as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 7 cm. Its minor sector angle is 97°; consider the corresponding major sector.

Write the major arc length as kπ cm. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 7 cm. Its minor sector angle is 97°; consider the corresponding major sector.

Write the major sector area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 8 cm. Its minor sector angle is 98°; consider the corresponding major sector.

Write the major sector area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 8 cm. Its minor sector angle is 98°; consider the corresponding major sector.

The major sector perimeter is cπ+d cm. Find d.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A circle has radius 9 cm. Its minor sector angle is 99°; consider the corresponding major sector.

The major sector perimeter is cπ+d cm. Find d.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 13 cm by 13 cm rectangle, remove a 5 cm wide by 4 cm high rectangular notch. The remaining figure is L-shaped.

Find the removed area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 14 cm by 8 cm rectangle, remove a 2 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the removed area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 14 cm by 8 cm rectangle, remove a 2 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the remaining area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 15 cm by 9 cm rectangle, remove a 3 cm wide by 3 cm high rectangular notch. The remaining figure is L-shaped.

Find the remaining area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 15 cm by 9 cm rectangle, remove a 3 cm wide by 3 cm high rectangular notch. The remaining figure is L-shaped.

Find the length of the remaining top horizontal edge in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 10 cm by 11 cm rectangle, remove a 5 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the length of the remaining top horizontal edge in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 16 cm by 10 cm rectangle, remove a 4 cm wide by 4 cm high rectangular notch. The remaining figure is L-shaped.

Find the external perimeter of the L-shape in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

From the top-right corner of a 10 cm by 11 cm rectangle, remove a 5 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the external perimeter of the L-shape in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.