# OJA grade 9 Maths Eng Paper 2

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OVERBERG EDUCATION DISTRICT

OVERBERG YEARLY ASSESSMENT (OYA) 2012
GRADE 9 MATHEMATICS - ENGLISH
PAPER 2

SURNAME ________________________             TOTAL ACHIEVED                      75

NAME        ________________________

SCHOOL      ________________________

Instructions:

1.    Provide answers in the spaces provided. Show all your work.
2.    Approved scientific calculators (non-programmable) may be used.
3.    The test duration is 1½ hours.

1
SECTION C : SPACE AND SHAPE

Question 1

Geometry of Straight lines:

In die diagram                                 Calculate            Give reasons.

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2
Question 2

Congruency

In the figure below AB = AC and BD = CE.

2.1     Proof that

2.2     Complete:
2.2.1   DA =
2.2.2      =

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3
Question 3

Similarity

3.1     In figure ABC

3.1.1   Proof, with reasons, that
3.1.2   Proof, with reasons, that   is similar to

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4
3.2   Given
Determine the values of x and y.

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(9)
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5
SECTION D : MEASUREMENT

Question 4

4.1     Calculate the area and the perimeter of:

4.1.1

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(8)
4.1.2
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(10)
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6
4.2   Calculate the volume of the following:
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[5]

4.3   The following prism has a rectangular triangle as basis with AB = 5m, AC =12m and
the height of the prism is 20m. Calculate the surface area of the prism.

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[7]

7
SECTION E : DATA HANDLING

Question 5

Twenty learners wrote a test with a maximum possible mark of 30. The marks obtained by the learners
were:

10 13 24 22 18 18 16 24 17 6 25 12 20 11 20 14 17 25 23 17

Calculate the following:

5.1     the mode
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5.2     the median
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5.3     the mean
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5.4     the range
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[6]

Question 6

6.1     Lucy has two R50 notes, one R20 note and three R10 notes in her pocket.

6.1.1   She randomly takes out one of the notes from her pocket to buy sweets. What is the probability of
her taking out a R50 note?

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6.1.2   She takes out a note, and then takes out another note. Draw a tree diagram to illustrate the
sequence of events.                                                                     (3)

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8
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6.2     The spinner below is spun twice in succession.

6.2.1   What is the probability that the arrow will point to yellow after the first spin and to black after the
second spin?                                                                                  (2)

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6.2.2   Suppose the spinner was spun 50 times and the frequencies of the outcomes are as follows:

Purple             Yellow             Black
15                 10                 25

Calculate the relative frequency of purple as an outcome.                                     (2)

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[8]

9

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