Grade 7 Term 1 Maths
Name: Date: Class: Time: 1 Hour
Total: / 70
Instructions
1. Answer all the questions as neatly as you can.
2. Try your best
3. Use a ruler
4. Read each question carefully.
Topics Covered
Topics
Total Marks
Marks Achieved
Whole Numbers
24
Exponents
13
Constructing Geometric
Objects
11
Geometry of 2D Shapes
22
Total
70
24
Question 1 – Whole Numbers
1. Place these numbers in ascending order: 254 494 240
245 494 240
254 944 240
245 944 240
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(2)
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Grade 7 Term 1 Maths
2. Solve these sums:
a. a)
118 732 + 758 862(3)
b. 897 064 – 259 930(3)
c. 5 469 x 29(4)
d. 2 646 ÷ 56(4)
3. Given the numbers: 856 and 535.
a. Give the first 10 multiples for each of these numbers.
(4)
b. Give the factors of each of these numbers.
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(2)
Grade 7 Term 1 Maths
c. Give the highest common factor for these two numbers.
(1)
d. Give the lowest common multiple for these two numbers.
(1)
13
Question 2
1. Give the answers to the following questions:
a. 12² =
(1)
b. √81 =
(1)
c. 5³ =
(1)
d. ³√64 =
(1)
2. Write this number in exponential form: 3 x 3 x 3 x 3 x 3 x 3 x 3
(1)
3. Write this exponent in long form: 6⁸
(1)
4. Solve these sums by showing all your steps.
a. (3+2²)²(
b. √(3²+4²)+6³ 3
(4)
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)
Grade 7 Term 1 Maths
11
Question 3
1. Using a protractor, construct a 45° angle.
(3)
2. Draw a circle with a 4cm radius.(4)
3. Construct a set of perpendicular lines.
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(4)
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Grade 7 Term 1 Maths
22
Question 4
1. Name each of these triangles.(3)
a.b.
c.
2. Name each of these quadrilaterals.(4)
a. b.
c.d.
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Grade 7 Term 1 Maths
3. Label each of the parts of the circle given below.
(6)
c
e
a
b
d
f
4. Study the diagram below, then answer the questions that follow.
We know that DE = BF = FC.
A
D
B
E
F
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C
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Grade 7 Term 1 Maths
a. Name 4 isosceles triangles.(2)
b. What kind of shape is ADFE? Give two reasons for your answer.
(3)
c. If DBF=63° what is the value of ECF? Give a reason for your answer.
(2)
d. What shape is BCED? Give a reason for your answer.
(2)
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Grade 7 Term 1 Maths - Memo
24
Question 1 – Whole Numbers
1. Place these numbers in ascending order: (2)
254 494 240
245 494 240
254 944 240
245 944 240
245 494 240
245 944 240
254 494 240
254 944 240
(half mark each).
2. Solve these sums:
a. 118 732 + 758 862(3)
1 1
118732
+ 758862
877594
b. 897 064 – 259 930(3)
8 16
8 9 7 ¹0 6 4
259 930
637 134
c. 5 469 x 29(4)
1 1
468
5469
x
29
49221
+
109380
158601
d. 2 646 ÷ 56(4)
4 7 r 14
56 2 6 4 6
-224
∙ 4 0 6
- 392
∙ 1 4
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Grade 7 Term 1 Maths - Memo
3. Given the numbers: 856 and 535.
a. Give the first 10 multiples for each of these numbers.
(4)
856: 856, 1 712, 2 568, 3 424, 4 280, 5 136, 5 992, 6 848, 7 704, 8 560
535: 535, 1 070, 1 605, 2 140, 2 675, 3 210, 3 745, 4 280, 4 815, 5 350
b. Give the factors of each of these numbers.
856: 1, 2, 4, 8, 107, 214, 428, 856
535: 1, 5, 107, 535
(2)
c. Give the highest common factor for these two numbers.
HCF = 107
(1)
d. Give the lowest common multiple for these two numbers.
4 280
(1)
13
Question 2
1. Give the answers to the following questions:
a. 12² =
144
b. √81 =
9 (1)
c. 5³ =
125
d. ³√64 =
4 (1)
(1)
(1)
2. Write this number in exponential form: 3 x 3 x 3 x 3 x 3 x 3 x 3
(1)
3⁷
3. Write this exponent in long form: 6⁸
(1)
6x6x6x6x6x6x6x6
4. Solve these sums by showing all your steps.
a. (3+2²)²(3)
= (3+4)²
= 7²
= 49
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Grade 7 Term 1 Maths - Memo
b. √(3²+4² )+6³ (4)
= √(9+16)+216
= √25+216
= 5 + 216
= 221
11
Question 3
1. Using a protractor, construct a 45° angle.
(3)
a=45º
2. Draw a circle with a 4cm radius.(4)
The circle should be drawn with a diameter of 8cm or radius of 4cm
and the radius should be labelled.
4cm
3. Construct a set of perpendicular lines.
(4)
a=90⁰
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Grade 7 Term 1 Maths - Memo
22
Question 4
1. Name each of these triangles.(3)
a.b.
equilateral triangle
right-angled triangle
c.
isosceles triangle
2. Name each of these quadrilaterals.(4)
a. b.
square
rhombus
c.d.
trapeziumparallelogram
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Grade 7 Term 1 Maths - Memo
3. Label each of the parts of the circle given below.
a) Radius
b) Diameter
c) Circumference
d) Chord
e) Sector
f) Segment
(6)
4. Study the diagram below, then answer the questions that follow.
We know that DE = BF = FC.
a. Name 4 isosceles triangles.(2)
ADE, ∆BDF, ∆DEF, and ∆CEF
b. What kind of shape is ADFE? Give two reasons for your answer.
ADFE is a rhombus,
All four sides are equal.
Opposite angles are equal.
(3)
c. If DBF=63° what is the value of ECF? Give a reason for your answer.
DBF = ECF = 63°
∆ABC is an isosceles triangle.
d. What shape is BCED? Give a reason for your answer.
BCED is a trapezium.
One pair of sides is parallel.
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(2)
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