ANA Grade 9 Mathematics test 2012
Assignment Type: Revision Paper
Total Marks: Unmarked
Question 1
Marks: 10
Question 1:

The next number in the sequence 1; 9 ; 25 ; ... is

Your Answer:
Question 2:

Which of the following numbers is a rational number?


A `sqrt(3)`



`sqrt(16)`



C `sqrt(-9)`



D `sqrt(13)`

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Question 3:

The two missing numbers in the sequence below
18; 36; __; 72; __ ; 108

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Question 4:

`5^0 xx 3^(-2) =`

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Question 5:

The graph of the straight line defined by


`f (x) = 2x + 4`  is


 

Attached Resource:
2af17e75-e816-41f7-bdd0-40a3a9e66b4d.PNG
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Question 6:

If (x - 1)(x + 2) = 0 then x =

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Question 7:

The volume of a cube with side length of 7 cm is

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Question 8:

The 3-D figure which has 5 faces, 5 vertices and 8 edges is a

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Question 9:

Why is `^^` ABC `-=` `^^` DCB ?


 


A. s,s,s


B. 900, hyp, s


C. s, <, s


D. <,<,s

Attached Resource:
ab820a47-892d-4673-bcfd-d2af6313bd65.PNG
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Question 10:

The probability of picking an odd number from numbers 1 to 13 is


A `6/13`


B `7/13`


C `1/13`


D `1/2`

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Question 2
Marks: 1
Question 1:

Write 0,00000356 kâ„“ in scientific notation.

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Question 2.2 - Simplify
Marks: 4
Question 1:

`(3x)^3 + 2x^(3)`

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Question 2:

`(a^2b^2)/(ac^2) xx (4a^2bc)/(20b^3)`

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Question 2.3 - Multiply and simplify if necessary.
Marks: 6
Question 1:

`4ab (5a^2b^2 + 2ab -3)`

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Question 2:

`(2x - 1)^2 - (x + 1)(x - 1)`

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Question 2.4 - Factorise fully.
Marks: 8
Question 1:

`8p^3 + 4p^2`

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Question 2:

`9p^2 - 36q^2`

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Question 3:

`tx - ty - 2x + 2y`


 

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Question 2.5 - Solve for x.
Marks: 11
Question 1:

3(x + 6) = 12

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Question 2:

`x^2 - 2x = 0`

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Question 3:

`(x + 1)/3 - (x - 1)/6 = 1`

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Question 4:

`2^(x +1) = 32`


`2^(x +1) = 2^5`


`x + 1 = 5`


`x = 4`

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Question 3
Marks: 8
Question 1:

There are 240 children at a party. The ratio of the number of boys to the
number of girls at the party is 3 : 1.
How many boys are there at the party?

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Question 2:

Petrus takes a bus to school. The bus travels at an average speed of
40 km/ h. The school is 9 km from his house.
How many minutes does he take to get to school?

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Question 3:

Bongiwe invests R12 000 in a savings account at 6,5% per annum compound interest.
Calculate how much there will be in the savings account after 5 years.

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Question 3.4 - Philani bought a scooter for R15 000. He paid 15% of the amount in cash and signed a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
Marks: 7
Question 1:

How much did he pay in cash?

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Question 2:

Calculate the total amount that he must still pay.

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Question 3:

Calculate the monthly instalment.

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Question 4
Marks: 8
Question 1:

Write down the next two terms in the given sequence.
3; 8; 13; _______; _______;

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Question 2:

Describe the pattern in question 4.1 in your own words.

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Question 3:

Write down the general term of the given sequence in the form
Tn = ____________________________.

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Question 4:

Which term in the sequence is equal to 38?

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Question 5
Question 5.1 - Select the word, the number or the equation so that each of the following statements is correct.
Marks: 14
Question 1:

The lines x = 4 and x = -4 are _________ to each other.

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Question 2:

The equation of the horizontal line through the point P (3; -2) is _________.

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Question 3:

The gradient of the line defined by y - 4x + 5 = 0 is equal to ____.

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Question 4:

This graph of f below represents a ________ function.


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Question 5:

On the same set of axes, draw and label the graphs defined by y = -2x + 1 and y = x -2. Use the Graph Editor  and clearly indicate the
points where the lines cut the axes.

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Question 6:

The lines intersect at T. Show by calculation that the co-ordinates of T are x = 1and y = -1 or (1; -1).

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Question 6 - Give reasons for each of your statements in question 6.1 and 6.2.
Question 6.1
Marks: 9
Question 1:


 


Calculate the value of x

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Question 2:

Calculate the value of y.

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Question 3:

Calculate the value of z.

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Question 6.2
Marks: 2
Question 1:

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Question 6.3
Marks: 12
Question 1:


Prove that triangle ABD `-=` triangle ACD

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Question 2:

Prove that triangle ABE `-=`  triangle ACE

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Question 3:

Prove that `hatE1 = hatE2 = 90^o`


 

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Question 4:

Hence, state the relationship between AE and BC.

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Question 6.4
Marks: 4
Question 1:

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Question 7
Marks: 8
Question 1:

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Question 2:

Write down the coordinates of the image of D and E if figure P is translated 3 units to the right and 2 units down.

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Question 3:

The length of each side of figure P is halved. Calculate the perimeter of the
new figure.

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Question 4:

Determine the ratio of the area of figure P to the area of the reduced figure in question 7.3.

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Question 8
Marks: 15
Question 1:

Complete the table by filling in the name of the 3-D figure, the number of faces, the number of vertices, the number of edges and the shape of the faces.


 


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Question 2:

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Question 3:

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Question 9
Question 9.1
Marks: 8
Question 1:


Complete the frequency table

Attached Resource:
920e761d-7171-42ae-aa71-05c348ad1949.PNG
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Question 2:

Draw a histogram to illustrate the data (you can do this on Excel, Word, or hand write it and upload your answer)

Your answer: Resource(s)
Question 9.2
Marks: 5
Question 1:


Write down the range and the median for the boys

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Question 2:

Write down the mode (modal size) for the girls.

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Question 3:

Calculate the mean size for the girls.

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