Spine Road High November Math Test

Question 1 of 50

Subtract -4\(x\) +8\(y\)+6 from 2\(x\) +3\(y\) -1

\begin{equation} x + 8 \end{equation}
\begin{equation} 6x \: – 5y \: – 7 \end{equation}
\begin{equation} – x ^2 + 3x -2 \end{equation}
\begin{equation} x^2 – 5y +8 \end{equation}

Question 2 of 50

Simplify:

begin{equation}
12 (3 + frac{1}{3}) ÷ (1.3 + 0.70)
end{equation}

\begin{equation} 25 \end{equation}
\begin{equation} \frac{1}{3} \end{equation}
\begin{equation} 5 \end{equation}
\begin{equation} 20 \end{equation}

Question 3 of 50

The HCF of :

begin{equation}
12x^2y : : : ; : : : 42x^3y^2 : : : ; : : : 27xy
end{equation}

\begin{equation} 630x^3y^2 \end{equation}
\begin{equation} 24x^2y \end{equation}
\begin{equation} 3xy \end{equation}
\begin{equation} 3x^2 \end{equation}

Question 4 of 50

Find the value of x:

\begin{equation} 30° \end{equation}
\begin{equation} 36° \end{equation}
\begin{equation} 37° \end{equation}
\begin{equation} 33° \end{equation}

Question 5 of 50

What is the reason for the previous answer in Question 4?

Sum of interior angles of a triangle is equal to 180 degrees
Angles on a straight line is equal to 180 degrees
Co-interior angle are equal to 180 degrees
Opposite angles are equal to 180 degrees

Question 6 of 50

If DE || FG, then the value of x is:

30°
120°
40°
60°

Question 7 of 50

The solid below is a:

Square pyramid
Cube
Triangular prism
Cuboid

Question 8 of 50

Scientific Notation of 0.00125 is:

\begin{equation} 0.125 ×10^2 \end{equation}
\begin{equation} 0.125 ×10^{-2} \end{equation}
\begin{equation} 1.25 ×10^3 \end{equation}
\begin{equation} 1.25 ×10^{-3} \end{equation}

Question 9 of 50

A recipe for 20 rolls requires 5 tablespoons of oil.

How many tablespoons of oil are needed for 30 rolls?

15
\begin{equation} \frac{15}{2} \end{equation}
\begin{equation} \frac{15}{4} \end{equation}
12

Question 10 of 50

A selling price of a bicycle that had sold for R550 last year was increased by 15%. What is the new price?

R82,50
R467,50
R660
R632,50

Question 11 of 50

If x=-3 and y=4, find the value of:

begin{equation}
x (3x + 4y)
end{equation}

21
20
-21
-20

Question 12 of 50

Simplify:

begin{equation}
frac{6x^3+2x^2+4x}{2x}
end{equation}

\begin{equation} 4x^2 + 2 \end{equation}
\begin{equation} 3x^2 + x + 2 \end{equation}
\begin{equation} 3x^2 + 2x + 2 \end{equation}
\begin{equation} 4x^2 + x + 2 \end{equation}

Question 13 of 50

Simplify:

2x (3x + 1) -x (x + 3)

\begin{equation} 6x^2 + 2x – x^2 – 3x \end{equation}
\begin{equation} 7x^2 – 5x \end{equation}
\begin{equation} 5x^2 – x \end{equation}
\begin{equation} 4x^2 -4x \end{equation}

Question 14 of 50

Solve for x:

begin{equation}
2(x+4) + 2 = 5x + 1
end{equation}

2
3
4
5

Question 15 of 50

Aisha is three years older than Mpho. Together their ages add up to 17 years. How old is Aisha?

10
7
13
3

Question 16 of 50

Refer to the sketch below and answer the questions that follow:

What is the value of x?

70°
50°
40°
80°

Question 17 of 50

Give a reason for your answer in Question 16?

Sum of interior angles of a triangle is equal to 180°.
Vertically opposite angles are equal.
Adjacent supplementary angles are equal to 180°.
The straight line bisects the angle.

Question 18 of 50

What is the value of y?

70°
50°
40°
80°

Question 19 of 50

Give a reason for your answer in Question 18

Co-interior angles are equal.
Corresponding angles are equal.
Vertically opposite angles are equal.
Alternate angles are equal.

Question 20 of 50

What is the value of z?

70°
50°
40°
80°

Question 21 of 50

Give a reason for your answer in Question 21

Co-interior angles are equal.
Corresponding angles are equal.
Vertically opposite angles are equal
Alternate angles are equal.

Question 22 of 50

Study the diagram below and answer the questions that follow:

The length of BC is …

13cm
10cm
18cm
26cm

Question 23 of 50

The length of x is …

13cm
10cm
18cm
26cm

Question 24 of 50

Simplify:

begin{equation}
^3 sqrt{27} : + 3^2
end{equation}

196
9
12
15

Question 25 of 50

Simplify:

begin{equation}
2a^4 times 3a^5 + 4a^9
end{equation}

\begin{equation} 6a^{20} + 4a^9 \end{equation}
\begin{equation} 10a^9 \end{equation}
\begin{equation} 9a^9 \end{equation}
\begin{equation} 24a^9 \end{equation}

Question 26 of 50

A car travels for 300 km at an average speed of 120 km/h.

If the trip started at 9:00 what time will the car reach the destination?

10:30
12:00
13:00
11:30

Question 27 of 50

Find the value of a:

13,3°
15°
40°
10°

Question 28 of 50

The area of ABCD is …

\begin{equation} 21.4 m^2 \end{equation}
\begin{equation} 22 m^2 \end{equation}
\begin{equation} 25.2 m^2 \end{equation}
\begin{equation} 21 m^2 \end{equation}

Question 29 of 50

Divide R120 in the ration of 3:2

72:48
70:50
65:55
73:47

Question 30 of 50

Refer to the sketch below and answer the questions that follow:

What is the value of x?

40°
50°
60°
70°

Question 31 of 50

Give a reason for your answer in Question 30

Angles on a straight line is equal to 180°.
Sum of interior angles of a triangle is equal to 180°.
Co-interior angles are equal to 360°.
Adjacent supplementary angles are equal to 360°.

Question 32 of 50

What is the value of y?

45°
55°
65°
75°

Question 33 of 50

Give a reason for your answer in Question 32

Sum of interior angles of a triangle is equal to 360°.
Adjacent supplementary angles are equal to 180°.
Angles on a straight line is supplementary.
Exterior angle of a triangle is equal to the opposite interior angles.

Question 34 of 50

The HCF of 18; 30 and 48 is:

3
4
6
8

Question 35 of 50

Solve:

begin{equation}
frac{3}{6} + frac{2}{8} + frac{1}{4} =
end{equation}

\begin{equation} \frac{6}{18} \end{equation}
\begin{equation} \frac{6}{24} \end{equation}
\begin{equation} \frac{2}{7} \end{equation}
\begin{equation} 1 \end{equation}

Question 36 of 50

The value of

begin{equation}
4.8 -2.042 =
end{equation}

\begin{equation} 2.38 \end{equation}
\begin{equation} 2.420 \end{equation}
\begin{equation} 2.756 \end{equation}
\begin{equation} 2.758 \end{equation}

Question 37 of 50

If the temperature is –7°C and then it rises by 15°C, what will the temperature be?

-22°C
22°C
8°C
-8°C

Question 38 of 50

If

begin{equation}
frac{3}{4}
end{equation}

of the 4 500 000 people in a city are between the ages of 15 and 40, how many people is this?

\begin{equation} 3 375 000 \end{equation}
\begin{equation} 281 250 \end{equation}
\begin{equation} 337 500 \end{equation}
\begin{equation} 33 750 000 \end{equation}

Question 39 of 50

begin{equation}
4 – (2 times 30div 5 + 3(-12 div4))
end{equation}

\begin{equation} -8 \end{equation}
\begin{equation} 1 \end{equation}
\begin{equation} 11 \end{equation}
\begin{equation} -7.5 \end{equation}

Question 40 of 50

In scientific notation 150 thousand will be written as:

\begin{equation} 15 \times 10^5 \end{equation}
\begin{equation} 0.15 \times 10^7 \end{equation}
\begin{equation} 1.5 \times 10^5 \end{equation}
\begin{equation} 1.5 \times 10^{-5} \end{equation}

Question 41 of 50

Increase 24 in the ratio 2:3

\begin{equation} 40 \end{equation}
\begin{equation} 36 \end{equation}
\begin{equation} 60 \end{equation}
\begin{equation} 144 \end{equation}

Question 42 of 50

How many terms in:

begin{equation}
2x^2 – (frac{1}{2}x +3y) + frac{2x^3 -y}{x}
end{equation}

3
5
6
2

Question 43 of 50

A quadrilateral with both pairs of opposite sides parallel and a pair of adjacent sides equal is a …

Parallelogram
Rhombus
Kite
Pentagon

Question 44 of 50

Calculate:

begin{equation}
^3sqrt{frac{64}{125}} div sqrt{frac{64}{36}}
end{equation}

\begin{equation} 3.5 \end{equation}
\begin{equation} \frac{3}{5} \end{equation}
\begin{equation} \frac{16}{15} \end{equation}
\begin{equation} \frac{24}{41} \end{equation}

Question 45 of 50

Sarah gives R2, Sipho gives R4 and Clyde gives R6 to buy a packet of sweets. If there are 240 sweets in the packet, how many sweets do Sipho get?

40
80
120
60

Question 46 of 50

Simplify the ratio:

begin{equation}
200g : : : 4kg
end{equation}

\begin{equation} 50 : 1 \end{equation}
\begin{equation} 1 : 20 \end{equation}
\begin{equation} 20 : 1 \end{equation}
\begin{equation} 1 : 50 \end{equation}

Question 47 of 50

Consider the pattern:

9; 14; 19; 24; …

Determine the rule the nth term to describe the above pattern.

\begin{equation} T_n = 4n + 5 \end{equation}
\begin{equation} T_n = 4n + 4 \end{equation}
\begin{equation} T_n = 5n + 5 \end{equation}
\begin{equation} T_n = 5n + 4 \end{equation}

Question 48 of 50

What is the sum of all the factors of 15?

\begin{equation} 9 \end{equation}
\begin{equation} 15 \end{equation}
\begin{equation} 23\end{equation}
\begin{equation} 24 \end{equation}

Question 49 of 50

Sally makes 6 paper flowers in 2/3 of an hour.

If she spent the same amount of time on each flower, how long does it take her to make one flower?

\begin{equation} \frac{1}{9} \text{ of an hour} \end{equation}
\begin{equation} \frac{1}{4} \text{ of an hour} \end{equation}
\begin{equation} \frac{1}{6} \text{ of an hour} \end{equation}
\begin{equation} \frac{1}{3} \text{ of an hour} \end{equation}

Question 50 of 50

Which one of the following is the diameter?

AC
AB
AO
OB

Spine Road High November Math Test

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