Geometry – space, measurement and data handling
Mathematics • Grade 6
Total50 marks
Time60 minutes
Questions27
Name:
Class: Date:
Instructions
- Read all the questions carefully before you begin writing.
- Answer all the questions on the question paper itself.
- Show all your working where the question asks for it.
- Write neatly. Work that cannot be read cannot be marked.
- You may use a pencil and a ruler for drawings.
- Calculators are not allowed.
Sit down with pen and paper. Work through the whole paper before you show the answers — that is how a real test feels.
The answers are right at the bottom of the page.
QUESTION 1 • Multiple choice
[6]
1.1
An angle smaller than 90° is called a ______.
(1)
Answer
a. acute angle
1.2
How many sides does a pentagon have?
(1)
Answer
b. 5
1.3
How many flat faces does a cube have?
(1)
Answer
b. 6
1.4
One kilogram is how many grams?
(1)
Answer
b. 1 000 g
1.5
The correct digital time for “fifteen minutes past seven in the evening” is:
(1)
Answer
b. 19:15
1.6
The area of a rectangle is calculated with:
(1)
Answer
b. length × width
QUESTION 2 • Drawing angles
[4]
2.1
Draw an acute angle of 45°. Mark the angle clearly.
(2)
Answer
Any correctly drawn angle of about 45°, with the angle marked. Accept 43° to 47°.
Marking tip: 1 punt vir die tekening, 1 vir die merk.
2.2
Draw an obtuse angle of 120°. Mark the angle clearly.
(2)
Answer
Any correctly drawn angle of about 120°, with the angle marked. Accept 118° to 122°.
Marking tip: 1 punt vir die tekening, 1 vir die merk.
QUESTION 3 • 2D shapes
[6]
3.1
Name the shapes A to D below.
(4)
Answer
A = rectangle; B = triangle; C = circle; D = pentagon
Marking tip: 1 mark each.
3.2
How many lines of symmetry does a square have?
(1)
Answer
4
Marking tip: 1 mark per step.
3.3
What is the difference between a square and a rectangle?
(1)
Answer
A square has four equal sides; a rectangle has equal opposite sides but adjacent sides differ.
Marking tip: 1 mark per step.
QUESTION 4 • 3D objects
[4]
4.1
Name the 3D objects A, C and E below.
(3)
Answer
A = cube; C = cylinder; E = sphere (ball)
Marking tip: 1 mark each.
4.2
Which 3D object has no flat face?
(1)
Answer
The sphere (ball).
Marking tip: 1 mark per step.
QUESTION 5 • Perimeter, area and volume
[9]
5.1
Calculate the PERIMETER and the AREA of the rectangle below.
(4)
Answer
Perimeter = 2(48 + 25) = 146 cm. Area = 48 × 25 = 1 200 cm²
Marking tip: 2 punte elk, met die eenheid.
5.2
The figure below is built from unit cubes. Determine the volume.
(2)
Answer
7 cubic units
Marking tip: 1 mark each.
5.3
The perimeter of a square is 48 cm. Calculate the area.
(3)
Answer
48 ÷ 4 = 12 cm per side; 12 × 12 = 144 cm²
Marking tip: 1 mark per step.
QUESTION 6 • Geometric patterns
[5]
6.1
Draw the 4th figure of the pattern below in the open block.
(1)
Answer
7 blocks in a row.
6.2
How many blocks will Term 5 have? Explain how you know.
(2)
Answer
9 blocks. The pattern adds 2 blocks each time, so 7 + 2 = 9.
Marking tip: 1 mark per step.
6.3
Write down the rule of this pattern.
(2)
Answer
Add 2 each time (or: 2n − 1).
Marking tip: 1 mark per step.
QUESTION 7 • Measurement
[4]
7.1
Convert: 4,5 km = ____________ m
(1)
Answer
4 500 m
Marking tip: 1 mark per step.
7.2
Convert: 2 350 g = ____________ kg
(1)
Answer
2,35 kg
Marking tip: 1 mark per step.
7.3
Convert: 3 ℓ = ____________ mℓ
(1)
Answer
3 000 mℓ
Marking tip: 1 mark per step.
7.4
Convert: 75 cm = ____________ mm
(1)
Answer
750 mm
Marking tip: 1 mark per step.
QUESTION 8 • Time
[7]
8.1
Look at the clock below and write down the time.
(3)
Answer
a. Twenty past ten (10:20) b. 22:20
Marking tip: 2 punte vir (a), 1 vir (b).
8.2
A film starts at 18:40 and lasts 2 hours and 25 minutes. What time does it end?
(2)
Answer
18:40 + 2 hours 25 min = 21:05
Marking tip: 1 mark per step.
8.3
How many days are there from 12 March to 3 April?
(2)
Answer
19 days in March + 3 days in April = 22 days
Marking tip: 1 mark per step.
QUESTION 9 • Data handling
[5]
9.1
The bar graph shows how many books Grade 6 borrowed each day. Answer the questions.
(5)
Answer
a. 11 + 7 + 13 + 8 + 12 = 51 books b. 51 ÷ 5 = 10,2 books c. 13 − 7 = 6 d. Wednesday e. Ordered: 7; 8; 11; 12; 13 → median = 11
Marking tip: 1 mark each.