Class 5 Maths - Measurement of Angles - Test 03

Ans: __________º
Answer
53

Q2) PQRS is a square and PR = 16 cm. Find the area of PQRS.

Ans: __________cm²
Answer
128

Q3) Square WXYZ has the same perimeter as triangle ABC. What is the area of triangle ABC?

Ans: _______________cm²

Answer

54

Q4) In the figure below, PDR and ADC are straight lines, Find ∠APR.

Ans:____________º
Answer
17

Q5) The figure below is not drawn to scale. PQRS is a rhombus. Given QT is a straight line and ∠QRS = 110º, find ∠RST.

Ans: ___________º
Answer
145

Q6) The ratio of a:b is 1:5. Find the value of ∠a.

Ans: ____________º
Answer
60

Q7) The figure below is not drawn to scale. Given that ABC is an isosceles triangle and DBC is an equilateral triangle, what is the value of ∠y?

Ans: _____________º
Answer
10

Q8) In the figure below, not drawn to scale, PQRS is a square of side 24cm. X is the mid-point of PS and Y is the mid-point of RS. Find the area of the shaded region.

Ans: ____________cm²
Answer
216

Q9) In the figure, not drawn to scale, ABCD is a square. FAB is a straight line. Find ∠g.

Ans: ___________
Answer
102°

Q10)The figure, not drawn to scale, is made up of 2 parallelograms. Find ∠r.

Ans: ___________
Answer
70°

Q11) The figure below is not drawn to scale. ABCD is a rectangle, BECG is a square and EMNC is a parallelogram. Find ∠DCN.

Ans: ____________
Answer
170°

Q12) In the figure below, not drawn to scale, ABC is an isosceles triangle. ∠ACB is 50°. BCD is a straight line. Calculate ∠BAD.

Ans: __________°
Answer
92

Q13) AB, CD and EF are straight lines. Find ∠x.

Ans: ___________º
Answer
57

Q14) In the figure below, not drawn to scale, ABCD is a rectangle. EFH is a straight line. ED is 1/4​ of AD.

(a) Find the length of GC.

(b) Find the shaded area.

Ans:

(a)____________

(b)____________

Answer

(a) The length of GC is 31 cm.

(b) The shaded area is 418.5 cm².

Q15) The figure below (not drawn to scale) is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 2 : 7. If 18​  of the square is shaded, what is the ratio of the unshaded area to the total area of the figure?

Ans: ____________
Answer
34 : 35

Q16) The figure below is made up of a square and 2 triangles. Given that AF = FE, find the area of the shaded parts.

Ans: ____________cm²

Answer

270

Q17) In the figure (not drawn to scale), WXYZ is a rectangle. ∠WSX = 70º and ∠XZY = 58º. Find ∠SXZ.

Ans: _______________º
Answer
38

Q18) A rectangular piece of paper measuring 12 cm by 10 cm is folded at a corner forming a shaded isosceles triangle shown in the figure below. Express the unshaded area after the paper was folded as a fraction of the area of the rectangular piece of paper. (This figure is not drawn to scale.)

Ans: ____________
Answer
The fraction is 13/15​ 

Q19) The figure below (not drawn to scale) is made up of 2 isosceles triangles, ABC and ACD. AC = BC = CD. Find ∠DAB.

Answer
78º

Q20) The figure below is made up of 5 identical rectangles. What is the minimum number of such rectangle(s) that must be added to the figure to form a square?

Ans: ____________________
Answer
3