# Class 5 Maths Worksheet - Measurement of Angles - Test 05

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**1) The figure below shows triangle ABC. Name the base that corresponds to the height CQ.**

Ans: ____________________

Answer

AB

**Q2) ABC is an isosceles triangle. Find ∠b.**

Ans: _____________°

Answer

116

**Q3) Find the area of Triangle XYZ given that WYZ is a straight line and Y is the midpoint of WZ.**

Ans: ____________ cm^{2}

Answer

27

**Q4) In the figure below, DEFG and DEHG are trapeziums. EH is perpendicular to DE. Find ∠e.**

Ans: ____________°

**Answer**

** 37**

**Q5) In the figure below, not drawn to scale, ∠AOB is thrice the size of ∠BOC. Find ∠COD.**

Ans: __________°

Answer

110

**Q6) The figure below is made up of a trapezium ABEF and a square BCDE. AC, AD and FD are straight lines with AD = FD. ∠AFD = 80°.Find ∠x in the figure.**

Ans: ______________

Answer

65°

**Q7) The figure is not drawn to scale. In the figure, square ABCD is cut off from a rectangle cardboard STUV. Find the perimeter of the remaining cardboard.**

Ans: ____________________cm

Answer

64

**Q8) The figure is not drawn to scale. It is made up of a rectangle, a square and three identical hexagons. Jordano had 814cm if wire. He used some of it to make the figure and was left with 378cm of wire.**

(a) Given that all the sides of each hexagon are the same, what is the length of each side of the hexagon?

(b) If Jordano used all the remaining wire to make identical hexagons as the ones below, how many more hexagons could he make?

Ans: (a)____________________

Ans: (b)____________________

Answer

(a) 6cm

(b) 10

**Q9) The figure below is not drawn to scale. ACEF is a square. AB = DE. AB is half as long as BC. Find the area of the shaded triangle BFG.**

Ans: ___________m^{2}

Answer

12

**Q10) In the figure, not drawn to scale, what is ∠a + ∠b + ∠c + ∠d ?**

Ans: ____________°

Answer

262

**Q11) In the figure below, UV and XY are straight lines. The ratio of the size of ∠UOX to the size of ∠XOV is 1 : 3. Find ∠ZOY**

**Ans: _____________Answer100°**

**Q12) ABCD is a rectangle. It is divided into 4 unequal triangles P, Q, R and S which meet at a point as shown. Find the area of triangle S.**

Ans: ________________

Answer

12m^{2}

**Q13) The figure below, not drawn to scale, is made up of a parallelogram and 2 triangles. RS = ST. Find**

a) ∠QPS

b) STR

Ans:

**(a) _______________**

**(b) _______________Answera) 62°b) 34°**

**Q14) The figure below, not drawn to scale, shows a rectangular piece of paper. The piece of paper is later folded as shown. Find ∠x and ∠y.**

Ans:

∠x = ___________

∠y = ___________

Answer

∠x = 270°

∠y = 66°

**Q15) The figure below, not drawn to scale, is made up of rectangle JKLM and triangle JKY. JK is 10 cm long. WY is 12.8 cm long and it is also perpendicular to JK. 75% of JKY and 47 of JKLM is shaded. What is the length of JM?**

Ans: ______________

Answer

8.4cm

**Q16) A cuboid has 2 identical square faces and 4 identical rectangular faces. The area of each square face is 144 cm ^{2} and the area of each rectangular face is 432 cm^{2}. Find the volume of the cuboid.**

Ans: ______________ cm^{3}

Answer

5184

**Q17) In the diagram below, PQRS is a parallelogram. QRAB is a square. SBR is a straight line. Find ∠PSR.**

Ans: ___________ °

Answer

135

**Q18)The figure ABCDEFG below is made up of 3 squares of sides, 4cm, 8cm and 8cm respectively. Find the shaded area GDF.**

Ans: _____________

Answer

48 cm^{2}

**Q19) Brenda used a piece of wire to form the figure below and was left with 46 cm after that.**

a) Given that the piece of wire was 3.1m long, how much wire had Brenda used to form the figure above?

b) Find the length of line XY.

Ans: (a) _____________

(b) _____________

Answer

a) 264 cm

b) 16.5 cm

**Q20) In the diagram below, ABCD and CEFG are trapeziums, and ADH is an equilateral triangle. ∠CEF is 129°, ∠ABC is 148°, ∠EFG is 41° and DHCG is a straight line. Find ∠BCE.**

Ans: ____________

Answer

97°

**Q21) ABCD is a square and ECB is an equilateral triangle. Find ∠p. (The figure is not drawn to scale.)**

Ans: __________

Answer

30°

**Q22) ABCD is a parallelogram, ∠BCD = 115° and ∠ADB = 36°. Find ∠BDC. (The figure is not drawn to scale)**

Ans: ___________°

Answer

29

**Q23)Lilian is standing at Point A. She is facing north. She turns in the anti-clockwise direction until she faces east. She turns through an angle of _____________.**

Ans: ___________

Answer

270°

**Q24) AOB and COD are straight lines. Find ∠BOE.**

Ans: ______________°

Answer

27

**Q25) The figure below is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 1/3 the area of the unshaded big square. Find the area of the small square.**

Ans: _____________

Answer

40 **cm ^{2 }**