Name the shape with 3 straight sides and 3 angles.
(1)
2
State how many lines of symmetry a square has.
(1)
3
Give the missing interior angle of this triangle. The other two angles are 50 degrees and 60 degrees.
(2)
4
A rectangle has length 12 cm and width 5 cm. Work out the perimeter.
(2)
5
Classify the quadrilateral with four equal sides and opposite angles equal. Give its name.
(2)
6
A triangle has sides of lengths 5 cm, 5 cm and 8 cm. State whether the triangle is isosceles, equilateral or scalene.
(2)
7
A square is a quadrilateral with four equal sides and four right angles. How many of its interior angles are right angles?
(2)
8
A kite has diagonals that meet at right angles. The diagonals are 10 cm and 16 cm long. Calculate the area of the kite.
(3)
9
The angles in a quadrilateral are 90 degrees, 80 degrees and 110 degrees. Work out the fourth angle.
(2)
10
Draw a regular hexagon. State how many lines of symmetry it has.
(2)
11
Triangle ABC is isosceles with AB = AC. Angle ABC is 40 degrees. Find angles BAC and ACB.
(3)
12
A regular pentagon has internal angle 108 degrees. Explain briefly why all internal angles are 108 degrees.
(2)
13
Classify this quadrilateral: it has one pair of parallel sides, opposite sides not equal, and no right angles. Give the name of the quadrilateral and a brief reason.
(2)
14
A parallelogram has one angle equal to 70 degrees. Work out the measures of the other three interior angles.
(2)
15
A rectangle has sides 6 cm and 8 cm. Calculate the length of a diagonal of the rectangle.
(3)
16
A regular hexagon is a six sided polygon. Work out its interior angle and state how many lines of symmetry a regular hexagon has.
(3)
17
In a quadrilateral the angles are 85 degrees, 95 degrees, x degrees and y degrees. Given that x = y, find x and y.
(3)
18
An isosceles triangle has two equal sides and a vertex angle of 40 degrees between the equal sides. Work out the two base angles.
(3)
Mark scheme · KS3.M-G5 Properties of 2D Shapes
Question 1
B1 triangle cao
Answer: triangle
Question 2
B1 4 cao
Answer: 4
Question 3
M1 uses 180 = sum of angles in a triangle or computes 50 + 60 = 110 oe
A1 70 degrees cao
Answer: 70 degrees
Question 4
M1 uses P = 2(length + width) or adds sides: 12 + 5 + 12 + 5 oe
A1 34 cm cao
Answer: 34 cm
Question 5
B1 identifies shape as a rhombus or says rhombus cao
B1 statement that four sides equal or opposite angles equal as justification oe
Answer: rhombus
Question 6
B1 identifies that two sides equal so is isosceles cao
B1 brief reason: two equal sides or two sides of length 5 cm oe
Answer: isosceles
Question 7
B1 4 cao
B1 optional reason: each corner is 90 degrees oe
Answer: 4
Question 8
M1 uses area = 1/2 x d1 x d2 or computes 0.5 x 10 x 16 oe
M1 calculates 80 oe
A1 80 cm2 cao
Answer: 80 cm2
Question 9
M1 uses sum of angles in quadrilateral = 360 and computes 90 + 80 + 110 = 280 oe
A1 80 degrees cao
Answer: 80 degrees
Question 10
M1 reasonable regular hexagon drawn with six equal sides and roughly equal angles
A1 6 lines of symmetry for a regular hexagon stated cao
Answer: 6
Question 11
M1 uses base angles equal since AB = AC or states ACB = ABC oe
M1 sets up 40 + 2x = 180 or computes 2x = 140 oe
A1 BAC = 100 degrees, ACB = 40 degrees cao
Answer: BAC = 100 degrees; ACB = 40 degrees
Question 12
M1 states regular means all sides and angles equal or states interior angle formula for n-gon = (n-2)*180/n oe
A1 substitutes n = 5 to get 540/5 = 108 degrees cao
Answer: Because regular means all angles equal and (5-2)*180/5 = 540/5 = 108 degrees
Question 13
B1 identifies trapezium or says trapezium cao
B1 gives reason: one pair of parallel sides oe
Answer: trapezium
Question 14
M1 uses fact opposite angles equal and adjacent angles sum to 180 or computes 180 - 70 = 110 oe