Name the quadrilateral with four equal sides and no right angles.
(1)
2
State how many lines of symmetry a regular pentagon has.
(1)
3
A triangle has sides of length 9 cm, 9 cm and 9 cm. State whether it is scalene, isosceles or equilateral.
(1)
4
Give the missing interior angle of a triangle. The other two angles are 72 degrees and 55 degrees.
(2)
5
A quadrilateral has one pair of parallel sides and the other pair not parallel. Name this quadrilateral.
(1)
6
A rectangle has length 15 cm and width 9 cm. Work out its perimeter.
(2)
7
A rhombus has diagonals that cross each other. State the angle between the diagonals.
(1)
8
The angles in a quadrilateral are 100 degrees, 85 degrees and 95 degrees. Work out the fourth angle.
(2)
9
Triangle DEF is isosceles with DE = DF. Angle DEF is 48 degrees. Find angles DFE and EDF.
(2)
10
A parallelogram has one angle equal to 112 degrees. Work out the size of the angle adjacent to it.
(2)
11
A kite has diagonals of length 14 cm and 20 cm, meeting at right angles. Calculate the area of the kite.
(2)
12
A regular octagon has 8 equal sides and 8 equal interior angles. Work out the size of each interior angle.
(2)
13
In a quadrilateral, two angles are 78 degrees and 102 degrees. The other two angles, x and y, are equal. Find x.
(2)
14
A rectangle has sides 9 cm and 12 cm. Calculate the length of a diagonal of the rectangle.
(3)
15
A regular hexagon has interior angle x. Work out x, and state how many lines of symmetry a regular hexagon has.
(3)
16
Triangle GHI is isosceles with GH = HI. Angle GHI (the angle between the equal sides) is 36 degrees. Find angles HGI and HIG.
(3)
17
A kite has one diagonal of length 18 cm. Its area is 108 cm2. Work out the length of the other diagonal.
(3)
18
A picture frame is a parallelogram shape. One interior angle is (2x + 10) degrees and the angle adjacent to it is (x + 50) degrees. Find x, and state the size of the two angles.
(3)
19
Stretch question. A regular polygon has an interior angle that is 8 times the size of its exterior angle. Work out the number of sides of the polygon.
(4)
Mark scheme · KS3.M-G5D Properties of 2D Shapes: Fluency and Exam Drill
Question 1
B1 rhombus
Answer: Rhombus
Question 2
B1 5 cao
Answer: 5
Question 3
B1 equilateral cao
Answer: Equilateral
Question 4
M1 uses angle sum of a triangle = 180 oe
A1 53 degrees cao
Answer: 53 degrees
Question 5
B1 trapezium
Answer: Trapezium
Question 6
M1 uses perimeter = 2 x (length + width)
A1 48 cm cao
Answer: 48 cm
Question 7
B1 90 degrees cao
Answer: 90 degrees
Question 8
M1 uses angle sum of a quadrilateral = 360 oe
A1 80 degrees cao
Answer: 80 degrees
Question 9
M1 uses base angles equal (DE = DF so angle DEF = angle DFE): angle DFE = 48 degrees