The GeoWorkSheets are listed by topics sorted in alphabetical order. All sheets have 20 questions and worked solutions are available. |
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No. |
Topic |
Description |
Measurement |
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22 |
Area of Circles | Find the area of a circle, correct to 1 decimal place, using the formula. |
17 |
Area of Composite | Find the area of a composite shapes using the appropriate formula and addition and/or subtraction). |
18 |
Area of Composite Shapes (Shaded) | Find the shaded area of a shape using the appropriate formula and addition and/or subtraction). |
| Area of Composite Shapes 2 | ||
15 |
Area of Quadrilaterals | Find the area of a quadrilateral using the appropriate formula. |
19 |
Area of Trapeziums | Find the area of a trapezium using the formula. |
16 |
Area of Triangles | Find the area of a triangle using the formula. |
21 |
Circumference of Circles | Find the circumference of a circle, correct to 1 decimal place, using the formula. |
7 |
Measure Angles 1 | Measure angles up to 90° correct to the nearest degree. |
31 |
Measure Angles 2 | Measure obtuse and reflex angles (greater than 90°) correct to the nearest degree. |
8 |
Measure Intervals 1 | Measure intervals (line segments) correct to the nearest centimetre. Questions 16 to 20 require rounding. |
9 |
Measure Intervals 2 | Measure intervals (line segments) correct to the nearest millimetre. Questions 16 to 20 require rounding. I would accept rounding up or down. |
12 |
Perimeter 1 | Calculate the perimeter of linear shapes using addition. Units indicated are mm and cm. |
13 |
Perimeter 2 | Calculate the perimeter of linear shapes using addition. Some sides are marked as equal. Units indicated are mm and cm. |
14 |
Perimeter Composite 1 | Find the perimeter of a shape using addition and/or subtraction). |
23 |
Perimeter Composite 2 | |
27 |
Pythagoras - A1 | Use Pythagoras' Rule to find a side given the hypontenuse. Correct to 1 decimal place |
28 |
Pythagoras - H1 | Use Pythagoras' Rule to find the hypontenuse given the 2 other sides. Correct to 1 decimal place |
29 |
Pythagoras - M1 | Use Pythagoras' Rule to find the hypontenuse or side given the 2 other sides. Correct to 1 decimal place |
30 |
Pythagoras - Perimeter 1 | Calculate the perimeter of linear shapes after using Pythagoras' Rule to find the missing side(s). Correct to 1 decimal place |
10 |
Time1 | Telling the time on an analogue clock. The answers are given in digital form and in words. |
11 |
Time 2 | Telling the time on an analogue clock given night or day. The answers are given in digital form and in words. (Sunrise and sunset times are assumed) |
25 |
Volume of Prisms1 | Find the volume of a solid using the formula V = Ah. |
Geometry |
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46 |
Alternate Angles | Finding the missing angle using alternate angles in parrallel lines are equal. Reasons are required. |
43 |
Angle of revolution | Finding the missing angle using angle of revolution is 360°. Reasons are required. |
| Angle Properties of Quadrilaterals | ||
51 |
Angle sum of Quadrilaterals | Finding the missing angle using angle sum of a quadrilateral is 360°. Reasons are required. |
50 |
Angle Sum of Triangles | Finding the missing angle using angle sum of a triangle is 180°. Reasons are required. |
| 6 | Angle types by size | Name the type of angle illustrated. (The name that labels the size; acute angle etc.) |
3 |
Axes of Symmetry | Counting and/or drawing the axes of symmetry on planar shapes. |
20 |
Circle Properties | Name the various cirlcle properties. Diameter, arc, segment, etc. |
47 |
Cointerior Angles | Finding the missing angle using cointerior angles in parrallel lines are supplementary. Reasons are required. |
45 |
Corresponding Angles | Finding the missing angle using corresponding angles in parrallel lines are equal. Reasons are required. |
53 |
Exterior angle of Triangles | Finding the missing angle using the exterior angle of a triangle is equal to the sum of the remote interior angles. Reasons are required. |
5 |
Geometrical Properties | Naming linear shapes. Eg. ΔABC, interval AB, etc |
55 |
Isosceles and equilateral triangles | Finding the missing angle using equal angles Isosceles or equilateral triangle. Reasons are required. |
44 |
Mixed Angle Properties 1 | A progressive mix of various theorems and axioms. That is, additional rules are mixed in progressively. |
49 |
Mixed Angle Properties 2 | A progressive mix of various theorems and axioms. That is, additional rules are mixed in progressively. |
52 |
Mixed Angle Properties 3 | A progressive mix of various theorems and axioms. That is, additional rules are mixed in progressively. |
54 |
Mixed Angle Properties 4 | A progressive mix of various theorems and axioms. That is, additional rules are mixed in progressively. |
56 |
A progressive mix of various theorems and axioms. That is, additional rules are mixed in progressively. | |
48 |
Mixed Parallel Properties | Finding the missing angle using appropriate parrallel lines relationship. Reasons are required. |
4 |
Naming Angles | Name angles using points. Eg. /ABC |
2 |
Naming Solids | Identify various prisms, pyramids and the cone. |
1 |
Planar Shapes | Identify various common planar shapes. |
| Solids | ||
41 |
Straight Angle 1 | Finding the missing angle using straight lines are supplementary (or add to 180°). Reasons are required. Just pairs of adjacent angles. |
42 |
Straight Angle 2 | Finding the missing angle using straight lines are supplementary (or add to 180°). Reasons are required. |
40 |
Vertically Opposite | Finding the missing angle using vetically opposite angels are equal. |
| Trigonometry | ||
121 |
Area of Triangle Rule 1 | |
122 |
Area of Triangle Rule DMS 1 | |
80 |
Cos Ratio Angle 1 | Find the missing angle of a triangle using the cosine ratio. Correct to 1 decimal place. Angles are in degrees. |
86 |
Cos Ratio Angle DMS 1 | Find the missing angle of a triangle using the cosine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
83 |
Cos Ratio DMS 1 | Find the missing side of a triangle using the cosine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
77 |
Cos Ratio Side1 | Find the missing side of a triangle using the cosine ratio. Correct to 1 decimal place. Angles are in degrees. |
102 |
Cos Ratio Angle Recip DMS 1 | Find the missing side of a triangle using the reciprocal cosine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
99 |
Cos Ratio Side Recip1 | Find the missing side of a triangle using the reciprocal cosine ratio. Correct to 1 decimal place. Angles are in degrees. |
119 |
Cosine Rule - Angle 1 | Find the missing angle of a triangle using the cosine rule. Correct to 1 decimal place. Angles are in degrees. |
120 |
Cosine Rule - Angle DMS 1 | Find the missing angle of a triangle using the cosine rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
117 |
Cosine Rule Side1 | Find the missing side of a triangle using the cosine rule. Correct to 1 decimal place. Angles are in degrees. |
118 |
Cosine Rule Side DMS 1 | Find the missing side of a triangle using the cosine rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
109 |
Mix Ratio - Mixed Recip Side DMS 1 | Find the missing side of a triangle using the 3 trig ratios and the reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees and minutes. |
110 |
Mix Ratio - Mixed Recip Side DMS 2 | Find the missing side of a triangle using the 3 trig ratios and the reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees and minutes. |
107 |
Mix Ratio - Mixed Recip Side 1 | Find the missing side of a triangle using the 3 trig ratios and the reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees. |
108 |
Mix Ratio - Mixed Recip Side 2 | Find the missing side of a triangle using the 3 trig ratios and the reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees. |
93 |
Mixed Trig Ratio Angle 1 | Find the missing angle of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
94 |
Mixed Trig Ratio Angle 2 | Find the missingangleof a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
95 |
Mixed Trig Ratio Angle DMS 1 | Find the missingangleof a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
96 |
Mixed Trig Ratio Angle DMS 2 | Find the missingangleof a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
88 |
Mixed Trig Ratio Side 1 | Find the missing side of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
89 |
Mixed Trig Ratio Side 2 | Find the missing side of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
90 |
Mixed Trig Ratio Side 3 | Find the missing side of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
91 |
Mixed Trig Ratio Side DMS 1 | Find the missing side of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
92 |
Mixed Trig Ratio Side DMS 2 | Find the missing side of a triangle using the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
105 |
Mixed Trig Recip Side DMS 1 | Find the missing side of a triangle using the 3 reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees and minutes. |
106 |
Mixed Trig Recip Side DMS 2 | Find the missing side of a triangle using the 3 reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees and minutes. |
104 |
Mixed Trig Recip Side 1 | Find the missing side of a triangle using the 3 reciprocal trig ratios. Correct to 1 decimal place. Angles are in degrees. |
125 |
Mixed Trig Rule - Angle 1 | Find the missing angle of a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees. |
126 |
Mixed Trig Rule - Angle 2 | Find the missing angle of a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees. |
129 |
Mixed Trig Rule - Angle DMS 1 | Find the missingangleof a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
130 |
Mixed Trig Rule - Angle DMS 2 | Find the missingangleof a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
123 |
Mixed Trig Rule 1 | Find the missing side of a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees. |
124 |
Mixed Trig Rule 2 | Find the missing side of a triangle using the correct trigonometric rule. Correct to 1 decimal place. Angles are in degrees. |
127 |
Mixed Trig Rule DMS 1 | Find the missing side of a triangle using the correct trigonometric rult. Correct to 1 decimal place. Angles are in degrees and minutes. |
128 |
Mixed Trig Rule DMS 2 | Find the missing side of a triangle using the correct trigonometric rult. Correct to 1 decimal place. Angles are in degrees and minutes. |
111 |
Mixed Trig Ratio Side - Pythagoras 1 | Find the missing side of a triangle using Pythagoras' Rule or the correct trigonometric ratio. Correct to 1 decimal place. Angles are in degrees. |
79 |
Sin Ratio Angle 1 | Find the missing angle of a triangle using the sine ratio. Correct to 1 decimal place. Angles are in degrees. |
85 |
Sin Ratio Angle DMS 1 | Find the missing angle of a triangle using the sine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
82 |
Sin Ratio Side DMS 1 | Find the missing side of a triangle using the sine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
76 |
Sin Ratio Side1 | Find the missing side of a triangle using the sine ratio. Correct to 1 decimal place. Angles are in degrees. |
101 |
Sin Ratio Side Recip DMS 1 | Find the missing side of a triangle using the reciprocal sine ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
98 |
Sin Ratio Side Recip1 | Find the missing side of a triangle using the reciprocal sine ratio. Correct to 1 decimal place. Angles are in degrees. |
114 |
Sine Rule - Angle 1 | Find the missing angle of a triangle using the sine rule. Correct to 1 decimal place. Angles are in degrees. |
115 |
Sine Rule - Angle DMS 1 | Find the missing angle of a triangle using the sine rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
116 |
Sine Rule - Angle DMS 2 | Find the missing angle of a triangle using the sine rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
112 |
Sine Rule - Side 1 | Find the missing side of a triangle using the sine rule. Correct to 1 decimal place. Angles are in degrees. |
113 |
Sine Rule - Side DMS 1 | Find the missing side of a triangle using the sine rule. Correct to 1 decimal place. Angles are in degrees and minutes. |
81 |
Tan Ratio Angle 1 | Find the missing angle of a triangle using the tan ratio. Correct to 1 decimal place. Angles are in degrees. |
87 |
Tan Ratio Angle DMS 1 | Find the missing angle of a triangle using the tan ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
84 |
Tan Ratio Side DMS 1 | Find the missing side of a triangle using the tan ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
78 |
Tan Ratio Side Ratio1 | Find the missing side of a triangle using the tan ratio. Correct to 1 decimal place. Angles are in degrees. |
103 |
Tan Ratio Side Recip DMS 1 | Find the missing side of a triangle using the reciprocal tangent ratio. Correct to 1 decimal place. Angles are in degrees and minutes. |
100 |
Tan Ratio Side Recip1 | Find the missing side of a triangle using the reciprocal tangent ratio. Correct to 1 decimal place. Angles are in degrees. |
75 |
Trig Functions 1 Calculator | Practise sheet for multiplying by a trigonometric ratio. Use of the calculator or tables. |
88 |
Trig Functions Recip 1 Calculator | Practise sheet for dividing by a trigonometric ratio. Use of the calculator or tables. |