Year 7 Mathematics Geometry Revision

Verification worksheet covering geometry concepts including front views of composite solids, triangle area, cube volume, angles around a point, and properties of 3D prisms and pyramids.

A student builds a tower display using 4 cubes in a row; the first has 1 extra cube stacked, the second has 3 extra, the third has 2 extra, and the fourth has none. The front view of this structure shows heights of __________.

2, 4, 3, 1

In a display of 5 toy boxes in a row, the middle box has 2 extra stacked, the box to its left has 1 extra, and the others have none. The resulting front view heights are __________.

1, 2, 3, 1, 1

A staircase model with 3 cubes in a row has 2 extra cubes on the first cube and 1 extra on the second. The front view heights from left to right are __________.

3, 2, 1

A mini city skyline structure with 4 cubes in a row has 1 extra on the second cube, 4 extra on the third, and 2 extra on the fourth. The front view heights are __________.

1, 2, 5, 3

A triangular sail for a model dhow boat with a base of $18\,cm$ and a perpendicular height of $9\,cm$ has an area of __________.

$$81\,cm^2$$

A triangular flag decoration with a base of $14\,cm$ and a perpendicular height of $11\,cm$ has an area of __________.

$$77\,cm^2$$

The volume of a cube-shaped donation box with an edge length of $6\,cm$ is __________.

$$216\,cm^3$$

If the edge length of a cube is doubled, the volume increases by a factor of __________.

8

A cube-shaped lantern stand with an edge length of $9\,cm$ has a volume of __________.

$$729\,cm^3$$

If the side length of a cube is tripled, the volume increases by a factor of __________.

27

Four decorative light beams meet at a central point with angles of $110^{\circ}$, $85^{\circ}$, and $95^{\circ}$. The value of the fourth angle $x$ is __________.

$$70^{\circ}$$

Given three angles around a circular center as $95^{\circ}$, $110^{\circ}$, and $85^{\circ}$, a student is incorrect to claim the fourth angle is $80^{\circ}$ because the sum of angles must be __________.

$$360^{\circ}$$

Three pathways meet at a central fountain with angles of $130^{\circ}$, $75^{\circ}$, and $65^{\circ}$. The remaining angle must be __________.

$$90^{\circ}$$

A parking area of $120,000\,m^2$ converted into hectares (where $1\,hectare = 10,000\,m^2$) is equal to __________.

12 hectares

At Global Village, an activity zone with an area of $210,000,000\,cm^2$ is equivalent to __________ when converted to square meters using the ratio $1\,m^2 = 10,000\,cm^2$.

$$21,000\,m^2$$

When comparing Activity Zone 1 ($18,000\,m^2$) and Activity Zone 2 ($210,000,000\,cm^2$), the zone that is larger is __________.

Activity Zone 2

The correct number of vertices, edges, and faces for a triangular prism is __________, __________, and __________.

6, 9, 5

A pentagonal pyramid has __________ vertices, __________ edges, and __________ faces.

6, 10, 6