Grade 5 Maths Worksheet - Measurement of Angles

Posted by Olympiad Tester on May 23, 2024

JQ1) Find the area of the shaded part.

Grade 5 Maths Worksheet - Measurement of Angles

Ans: ____________ cm²

Answer

Q2) The figure below shows a rectangle PQRS. PYR is a straight line, and XYZ is parallel to STR. PX = 10 cm, TR = 9 cm and ZR = 4 cm. Find the shaded area of rectangle XYTS.

Ans: _____________ cm²

Answer
90

Q3) A rectangular park has length of 250 m and breadth of 180 m. The park is covered with grass in triangular formations as shown in the shaded area below. Find the area that is NOT covered by grass.

Ans: ____________

Answer
22500 cm²

Q4) The figure below is made up of several copies of a particular unit shape. How many unit shapes are used in the tessellation below?

Ans: _____________

Answer
12

Q5)ABCD is a trapezium which is made up of a triangle, a rectangle and a trapezium, X, Y and Z respectively. Find the area of ABCD.

Ans: _____________

Answer
168 cm²

Q6) During the Art and Craft lesson, Judy folded two corners of a piece of square paper as shown below before shading the paper. Triangle A and Triangle B are identical. Find the total area of the shaded part.

Ans: ____________

Answer
51 cm²

Q7) Mrs Tan wants to lay her kitchen with tiles of a shape that can be tessellated. Which of these shapes cannot be tessellated?

Answer
B.

Q8) The figure, not drawn to scale, is made up of a parallelogram DCBE and an equilateral triangle EBA. Angle DCB is 49° . What is the value of angle AED?

Ans:_______________________°
Answer
109

Q9) Find the value of 'g' in the figure below.

Ans:_____________________°
Answer
36

Q10) The figure below is not drawn to scale. VWX is an isosceles triangle. XVY and WVZ are straight lines. Find
(a) ∠p
(b) ∠q

Ans: (a)________________________
Ans: (b)________________________
Answer
(a) 118°
(b) 62°

Q11) In the figure below, CDE is an equilateral triangle and FEG is a straight line. Find ∠DEG .

Ans: ___________________°
Answer
150

Q12) The figure, not drawn to scale, is made up of a rhombus ABCF and a trapezium FCED. Find the value of angle AFE.

Ans:___________________°
Answer
104

Q13) ACDE is a trapezium. BCD is an isosceles triangle. ∠ BCD = 63° and BD = CD. Find ∠ ABD.

Ans: _____________________°
Answer
117

Q14) The figure below is not drawn to scale. FCB is perpendicular to BA, DCG and EF. AG is parallel to DE. DCG is parallel to BA and EF. ∠ BAG = 104° . Find ∠ DEF.

Ans:____________________°
Answer
104

Q15) BCD is a straight line and AB is equal to AC. Find
(a) ∠x
(b) the sum of ∠x and ∠y

Ans: (a)__________________
(b)__________________
Answer
a) 28°
b) 84°

Q16) In the figure below, not drawn to scale, AB and CD are straight lines. What is the value of ∠x ?

Ans:__________________°
Answer
55

Q17) FGH is a straight line and EGHJ is a parallelograme. Find
(a) ∠e
(b) ∠f

Ans: (a)_________________
(b)_________________
Answer
a) 115°
b) 15°

Q18) In the figure below, not drawn to scale, ACDE is a parallelogram. Find ∠ABE .

Ans:__________________
Answer
60°

Q19) In the figure below, not drawn to scale, PQRS is a parallelgram and TPU is a straight line.

Find (a) ∠PQR
(b) ∠RUT

Ans: (a) ∠PQR = ______________
(b) ∠RUT = ______________
Answer
a) 125°
b) 89°

Q20) The figure shown below is not drawn to scale. CD = DE, ∠DHF = 90° and FGH is a straight line.
Find (a) ∠DFH
(b) ∠EGH

Ans: (a) ∠DFH = ____________
(b) ∠EGH = ____________
Answer
a) 36°
b) 153°

Q21) This figure is made up of 9 similar triangles (not drawn to scale). The base of each triangle is 3 cm. The height of each triangle is 4 cm. What is the area of this figure?

Ans: ______________cm²

Answer

Q22) The figure is made up of 4 identical triangles. Find the total shaded area.

Ans: _________ cm²
Answer
5400

Q23) In the figure below, not drawn to scale, ABCD is a parallelogram and BEF is a straight line. Find angle ABE.

Ans: ______________

Answer

40°

Q24) A square paper of area 81 cm² is cut into 2 equal pieces as shown in Figure 1. The pieces are arranged to form a rectangle as shown in Figure 2. Find the perimeter of the rectangle.