Question bank

TMUA-P1-MGEO-001

The circle shown has circumference $10\pi$. What is its area?

TMUA-P1-MGEO-002

A right-angled triangle has shorter sides $6$ cm and $8$ cm. What is the length of the hypotenuse?

TMUA-P1-MGEO-003

A triangle has base $10$ cm and perpendicular height $6$ cm. What is its area in cm$^2$?

TMUA-P1-MGEO-004

A cuboid measures $3$ cm by $4$ cm by $12$ cm. What is the length of its space diagonal?

TMUA-P1-MGEO-005

In a right-angled triangle the hypotenuse is $15$ cm and one acute angle $\theta$ satisfies $\sin\theta = 0.6$. What is…

TMUA-P1-MGEO-006

Two shapes are mathematically similar with linear scale factor $3$. The smaller has area $8$ cm$^2$. What is the area of…

TMUA-P1-MGEO-007

A cylinder has radius $3$ cm and height $10$ cm. What is its volume in cm$^3$?

TMUA-P1-MGEO-008

A sector of a circle of radius $8$ cm has angle $90^\circ$. What is its area in cm$^2$?

TMUA-P1-MGEO-009

A right circular cone has base radius $5$ cm and slant height $13$ cm. What is its volume in cm$^3$?

TMUA-P1-MGEO-010

A right-angled triangle has shorter sides $9$ cm and $12$ cm. What is the length of the hypotenuse?

TMUA-P1-MGEO-011

In a right-angled triangle the hypotenuse is $10$ cm and one shorter side is $6$ cm. What is the length of the other sho…

TMUA-P1-MGEO-012

A cuboid measures $5$ cm by $6$ cm by $4$ cm. What is its volume in cm$^3$?

TMUA-P1-MGEO-013

Two triangles are mathematically similar. Two corresponding sides are $4$ cm and $10$ cm. The smaller triangle has area…

TMUA-P1-MGEO-014

Let $\mathbf{a} = (3, 1)$ and $\mathbf{b} = (1, 4)$. What is $\mathbf{a} + \mathbf{b}$?

TMUA-P1-MGEO-015

Let $\mathbf{a} = (2, 5)$ and $\mathbf{b} = (-1, 3)$. What is $|2\mathbf{a} - \mathbf{b}|$?

TMUA-P1-MGEO-016

Two cones are mathematically similar with heights $3$ cm and $9$ cm. The smaller cone has volume $20$ cm$^3$. What is th…

TMUA-P1X-MGEO-01

A right-angled triangle has shorter sides $5$ cm and $12$ cm. What is the length of the hypotenuse?

TMUA-P1X-MGEO-02

In a right-angled triangle the hypotenuse is $13$ cm and the side opposite angle $\theta$ is $5$ cm. What is $\sin\theta…

TMUA-P1X-MGEO-03

A cuboid measures $6$ cm by $8$ cm by $24$ cm. What is the length of its space diagonal?

TMUA-P1X-MGEO-04

In a right-angled triangle the hypotenuse is $25$ cm and one acute angle $\theta$ satisfies $\cos\theta = 0.6$. What is…

TMUA-P1X-MGEO-05

Two solids are mathematically similar with linear scale factor $2$. The smaller has volume $15$ cm$^3$. What is the volu…

TMUA-P1X-MGEO-06

A trapezium has parallel sides of lengths $7$ cm and $13$ cm and perpendicular height $6$ cm. What is its area in cm$^2$…

TMUA-P1X-MGEO-07

Two cylinders are mathematically similar with heights $4$ cm and $6$ cm. The smaller has total surface area $32\pi$ cm$^…