Class 5 Maths Worksheet - Measurement of Angles - Test 05

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: ____________ cm²
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: ___________m²
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: _____________

Answer
100°

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
12m²

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) _______________

Answer
a) 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 cm² and the area of each rectangular face is 432  cm². Find the volume of the cuboid.

Ans: ______________ cm³
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 cm²

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 cm²