Secondary 3, Additional Mathematics, Worksheet 1 – tbc, no ans
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e) Q4g, there seems to be missing words / sentence below the image and cannot see any shaded region, please verify and revert
f) Q4f: cannot see any shaded region, please verify and revert
g) Q7: cannot see any shaded region, please verify and revert
h) Q4h: cannot see any shaded region, please verify and revert
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Question 1 of 32
1. Question
1 point(s)In the diagram, ABCD is a parallelogram. AB = 8cm, AE = 7cm and DC = 12cm. Find the area of the parallelogram ABCD.

Answer: c$m^2$
CorrectIncorrect 

Question 2 of 32
2. Question
1 point(s)In the diagram, ABCD is a parallelogram. AB = 8cm, AE = 7cm and DC = 12cm. Find the length of AF.

Answer: cm
CorrectIncorrect 

Question 3 of 32
3. Question
1 point(s)The area of trapezium PQRS is 75 cm$^2$. Given that PT = 6 cm and QR = 15 cm, find the length of PS.

Answer: cm
CorrectIncorrect 

Question 4 of 32
4. Question
1 point(s)ABCD is a trapezium and PQRS is a parallelogram. AB = 13 cm, BC = 15 cm, CD = 22 cm, PQ = 15 cm and ⦟BAD = ⦟ADC = 90°.
If the area of the trapezium ABCD is the same as the area of the parallelogram PQRS, find the length of the perpendicular from S to PQ.

Answer: cm
CorrectIncorrect 

Question 5 of 32
5. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 6 of 32
6. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 7 of 32
7. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 8 of 32
8. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 9 of 32
9. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 10 of 32
10. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 11 of 32
11. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 12 of 32
12. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 13 of 32
13. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 14 of 32
14. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 15 of 32
15. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 16 of 32
16. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 17 of 32
17. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 18 of 32
18. Question
1 point(s)Find the perimeter and the area of the shaded regions in the following figures, giving your answers correct to 2 decimal places. All lengths are given in centimetres. [ Take $\pi$ = 3.142]

Answer:
Perimeter = cm
Area of shaded region = c$m^2$
CorrectIncorrect 

Question 19 of 32
19. Question
1 point(s)In the diagram, O is the centre of the circle of radius 8cm and ⦟AOB = 130°. Calculate the length of the minor arc AB.
[ Take $\pi$ = 3.142]

Answer: cm
CorrectIncorrect 

Question 20 of 32
20. Question
1 point(s)In the diagram, O is the centre of the circle of radius 8cm and ⦟AOB = 130°. Calculate the area of triangle AOB.
[ Take $\pi$ = 3.142]

Answer: c$m^2$
CorrectIncorrect 

Question 21 of 32
21. Question
1 point(s)In the diagram, O is the centre of the circle of radius 8cm and ⦟AOB = 130°. Calculate the area of the shaded region.
[ Take $\pi$ = 3.142]

Answer: c$m^2$
CorrectIncorrect 

Question 22 of 32
22. Question
1 point(s)Four identical quadrants are cut from the corners of a square, leaving the remaining shape as shown below. If the length of the arc of each quadrant is 3$\pi$ cm, find the area of the remaining shape. Give your answer in terms of $\pi$.

Answer: $\pi$ c$m^2$
CorrectIncorrect 

Question 23 of 32
23. Question
1 point(s)In the diagram, TP and TQ are tangents to the circle, circle O at the points P and Q respectively. The radius of the circle is 8 cm and ⦟PTQ = 50°. Find the perimeter of the shaded region.

Answer: cm
CorrectIncorrect 

Question 24 of 32
24. Question
1 point(s)In the diagram, OAB is a sector of a circle, center O. Given that the length of the arc AB is 12 cm and area of the sector OAB is 90 c$m^2$, find OA and ⦟AOB in radians.

Answer: radians
CorrectIncorrect 

Question 25 of 32
25. Question
1 point(s)In the diagram, OAB is a sector of a circle, center O. Given that the length of the arc AB is 12 cm and area of the sector OAB is 90 c$m^2$, find the area of the shaded region.

Answer: c$m^2$
CorrectIncorrect 

Question 26 of 32
26. Question
1 point(s)In the diagram, OABCD is a semicircle, centre O and radius 8cm. The chord BC is 10 cm long and it is parallel to the diameter AD of the semicircle. Calculate ⦟BOC in radians.

Answer: radians
CorrectIncorrect 

Question 27 of 32
27. Question
1 point(s)In the diagram, OABCD is a semicircle, centre O and radius 8cm. The chord BC is 10 cm long and it is parallel to the diameter AD of the semicircle. Calculate the area of the shaded region.

Answer: c$m^2$
CorrectIncorrect 

Question 28 of 32
28. Question
1 point(s)In the diagram, OABCD is a semicircle, centre O and radius 8cm. The chord BC is 10 cm long and it is parallel to the diameter AD of the semicircle. Express the area of the shaded region as a percentage of the area of the semicircle.

Answer: %
CorrectIncorrect 

Question 29 of 32
29. Question
1 point(s)In the diagram, AXB is an arc of a circle, centre O and radius 12 cm with ⦟AOB = 0.95 radians. AYB is the arc of another circle, centre E and radius 6 cm with ⦟AEB = $\theta$ radians. Calculate the length of the chord AB.

Answer: cm
CorrectIncorrect 

Question 30 of 32
30. Question
1 point(s)In the diagram, AXB is an arc of a circle, centre O and radius 12 cm with ⦟AOB = 0.95 radians. AYB is the arc of another circle, centre E and radius 6 cm with ⦟AEB = $\theta$ radians. Calculate the value of $\theta$ in radians.

Answer: radians
CorrectIncorrect 

Question 31 of 32
31. Question
1 point(s)In the diagram, AXB is an arc of a circle, centre O and radius 12 cm with ⦟AOB = 0.95 radians. AYB is the arc of another circle, centre E and radius 6 cm with ⦟AEB = $\theta$ radians. Calculate the area of the shaded region.

Answer: c$m^2$
CorrectIncorrect 

Question 32 of 32
32. Question
1 point(s)In the diagram, AXB is an arc of a circle, centre O and radius 12 cm with ⦟AOB = 0.95 radians. AYB is the arc of another circle, centre E and radius 6 cm with ⦟AEB = $\theta$ radians. Calculate the difference in length between the arcs AYB and AXB.

Answer: cm
CorrectIncorrect 