The Advanced Numeracy Test Workbook - Mike Bryon [16]
The test consists of a series of questions and labelled suggested answers to choose from. You are required to select one of the suggested answers as the correct one and to record that answer’s identifying label in the answer box.
Example question
The volume of a cube with sides of 3cm is:
A 64cm3
B 8cm3
C 27cm3
D 125cm3
Answer C
Attempt the first 30 questions without a calculator.
Attempt all questions in the allowed time and work without interruption or pause.
Do not turn the page until you are ready to begin the test.
Q1. If 4 squares each 4cm2 are formed into a rectangle what would be the length of the new shape’s longest side?
A 8cm
B 4cm
C 2cm
D 6cm
Answer
Q2. AB = BD = DA. What is angle a?
Answer
Q3. What is the length of each side of the cube if it has a cubic area of 64cm3?
Answer
Q4. Find the size of angle x.
Answer
Q5. In the illustrated isosceles triangle, what are the values of angles x and y?
A 60°, 50°
B 70°, 40°
C 90°, 20°
D 55°, 55°
Answer
Q6. Find the missing angles in the kite.
A 145.5°
B 67.5°
C 78°
D 156°
Answer
Q7. What is the size of angle y if the two intersecting lines are straight?
A 35°
B 55°
C 70°
D 110°
Answer
Q8. If you were to try and construct triangles of the following dimensions, which is impossible in that it cannot be drawn or constructed?
A ΔABC where AB = 3cm BC = 4cm CA = 3cm
B ΔABC where AB = 6cm BC = 2cm CA = 9cm
C ΔABC where AB = 11cm BC = 8cm CA = 14cm
D ΔABC where AB = 5cm BC = 5cm CA = 5cm
Answer
Q9. If lines A and B are parallel, what is the value of angle x?
A 110°
B 90°
C 20°
D 60°
Answer
Q10. Which angle will be the smallest?
Answer
Q11. A regular polygon has interior angles of 60°. How many sides does it have?
A 10
B 6
C 3
D 4
Answer
Q12. A regular polygon has exterior angles of 36°. How many sides does it have?
A 10
B 5
C 3
D 12
Answer
Q13. A pentagon can be divided into three triangles, so what is the sum of the interior angles of the pentagon?
A 180°
B 360°
C 270°
D 540°
Answer
Q14. What are the exterior angles of a hexagon?
A 90°
B 36°
C 60°
D 45°
Answer
Q15. Which of the following is not an example of a quadrilateral?
A Trapezium
B Rhombus
C Square
D They are all quadrilaterals
Answer
Q16. If a pentagon can be divided into three triangles, how many triangles can an octagon be divided into?
A 5
B 6
C 7
D 8
Answer
Q17. What is the circumference of a circle with a radius of 5cm (take π as 3.14)?
A 62.8cm
B 3.14cm
C 15.7cm
D 31.4cm
Answer
Q18. What is the circumference of a circle with a diameter of 6cm (take π as 3.14)?
A 37.68cm
B 18.84cm
C 113.04cm
D None of these
Answer
Q19. What is the radius of a circle with a circumference of 31.4cm (take π as 3.14)?
A 10cm
B 3.14cm
C 7.5cm
D 5cm
Answer
Q20. What is the area of a circle with a radius of 3cm (take π as 3.14)?
A 29.57cm2
B 6cm2
C 28.26cm2
D None of these
Answer
Q21. What is the area of a circle with a diameter of 10cm (take π as 3.14)?
A 78.5cm2
B 314cm2
C 31.4cm2
D None of these
Answer
Q22. What is the area of a circle with a circumference of 25.12cm (take π as 3.14)?
A 200.96cm2
B 75.36cm2
C 50.24cm2
D None of these
Answer
Q23. What is the area of a circle with a circumference of 21cm (take π as 3)?
A 147cm2
B 36.75cm2
C 198cm2
D None of these
Answer
Q24. What is the volume of a sphere with a radius of 3cm (treat π as 3.14)?
A 282.6cm3
B 28.26cm3
C 11.304cm3
D 113.04cm3
Answer
Q25. What is the volume of a hemisphere with a radius of 3cm (treat π as 3.14)?
A 14.13cm3
B 28.26cm3
C 56.52cm3
D 113.04cm3
Answer
Q26. What is the surface area of the cuboid?
A 30cm2
B 45cm2
C 62cm2
D 70cm2
Answer
Q27. What is the volume of the cuboid illustrated in Q26?
A 30cm3
B 45cm3
C 62cm3
D 70cm3
Answer
Q28. A pipe has a radius of 12m and is 60m long. What is its volume (take π as 3.14)?
A Less than 25,000m3
B Less than 250m3
C Over 250,000m3
D More than 25,000m3
Answer
Q29. What is the area