Ms.

Whitehall

HARRISON COLLEGE

END OF YEAR EXAMINATION 2024

2ND YEAR MATHEMATICS

Duration: 1 hour 30 minutes

READ THE FOLLOWING INSTRUCTIONS CAREFULLY

1. This paper consists of nine (9) printed pages, inclusive of the cover page, and
TWO (2) sections – Section A and Section B. Answer ALL questions.

2. For Section A, CIRCLE the LETTER which corresponds to the correct option for
each question. This section consists of ten (10) multiple choice questions.

3. For Section B, write your answers in the spaces provided. This section consists
of thirteen (13) questions. ALL working must be shown.

Name: ________________________________________________________

Form: __________ Teacher: _________________________________

Section A /10
Section B /76
Total /86

DO NOT TURN OVER THIS PAGE UNTIL YOU ARE TOLD TO DO SO

 Section A
Answer ALL the questions. CIRCLE the LETTER which corresponds to the correct
option.
1. The next term in the sequence 2, 6. The volume of a cube is 216 cm3.
6, 12, 20, ... is Its total surface area is
A. 24 A. 6 cm2
B. 28 B. 36 cm2
C. 30 C. 144 cm2
D. 40 D. 216 cm2

2. 213.49 in standard form is 7. The sum of the interior angles of

A. 2.1349 x 102 a hexagon is
B. 0.21349 x 103 A. 360
C. 21349 x 102 B. 480
D. 2.1349 x 10-2 C. 540
D. 720
3. How many faces does a cube
have? 8. The diagram below illustrates the
A. 4 faces set of numbers 𝑥 such that
B. 6 faces
C. 8 faces
D. 12 faces
A. 𝑥 ≤5
4. 4.2 x 10-2 is the number B. 𝑥 ≥5
A. 420 C. 𝑥 >5
B. 0.42 D. 𝑥 <5
C. 0.042
D. 0.0042 9. The total surface area of a cube
of side 4 cm is
5. The set of values of 𝑥 such that 𝑥 A. 12 cm2
is greater than or equal to four B. 24 cm2
but less than seven may be C. 64 cm2
represented as D. 96 cm2
A. 4 ≤ 𝑥 ≤ 7
B. 4 < 𝑥 < 7 10. What is the perimeter of the
C. 4 < 𝑥 ≤ 7 triangle shown below?
D. 4 ≤ 𝑥 < 7

A. 12 units
B. 9 units
C. 8 units
D. 7 units

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 Section B.
Answer ALL questions in the spaces provided. Show ALL working.
1. a. Calculate the simple interest on a $4,000 loan at a rate of 7% per annum over
3 years. Hence, find the total amount to be repaid. [3]

b. Use the table below to answer the following questions. Vivek’s bill at The
Clothes King is shown below:
THE CLOTHES KING – CUSTOMER’S BILL
Items Quantity Unit Cost Total Cost
Shirts A $65.95 $263.80
Ties 3 B C
Caps 8 $150 $1,200
Sub-total D
TAX (15%) E
TOTAL F

i. What is the value of A, the number of shirts which Vivek bought? [1]

ii. If the price of a tie is 20% less than the price of a cap, find the values of
a. B [2] b. C [1]

iii. Calculate the value of D, the sub-total, the amount before the tax. [1]

iv. If a tax of 15% of the total cost price is added to Vivek’s bill, what is the
value of E, the amount of tax. [1]

v. Hence, calculate the value of F, Vivek’s total bill inclusive of the tax. [1]

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 c. Jane earns $8.75 per hour for the first 8 hours she works each day, then time-
and-a-half for each hour after that. What is Jane paid for a day if she works
11.5 hours? [4]

2. Use the rectangle below to answer the following questions.

a. Write an equation that can be used to solve for 𝑥 and then solve for 𝑥. [2]

b. Write an equation that can be used to solve for 𝑦 and then solve for 𝑦. [2]

3. Rearrange the following formulae to make the letter in bracket the subject:
a. 𝑥 = 3𝑝 + 𝑞 (𝑞) [1] c. 𝑚(𝑥 + 𝑦) = 3𝑤 (𝑦) [2]

3𝑦
b. 2𝑚 = (𝑦) [2]
𝑡

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4. Mia has created the chart below to compare the three cellular phone plans she is
considering.
Plan Monthly Fee Cost/Minute
A $0 $0.24
B $19.99 $0.08

If Mia uses 150 minutes of call each month, which plan will be least expensive?
[5]

5. Solve the inequalities:

a. 2𝑥 + 1 > 3 [2] 2𝑥−6
c. <1 [3]
4

b. 4 − 𝑥 ≥ 2 [2]

6. Simplify the following algebraic expressions.

a. 7(𝑥 + 5) = [1]

b. −3(2𝑐 − 3𝑑) = [1]

c. 3(4𝑥 + 5) + 6 = [2]

2𝑦 𝑦−4
d. + = [3]
3 2

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7. Factorise the following algebraic expressions. [1 x 3]
a. 4𝑥 + 6 =

b. 14𝑎 − 21𝑏 =

c. 5𝑚2 − 10𝑚𝑛 =

8. Write down the missing numbers in each of these sequences. [1 x 2]

a. _______, 17, 15, 13, _________
b. 98, 109, ________, 131, ________

9. Using a ruler, draw the lines of symmetry (if any) in each case. [1 x 3]
a. Square

b. Parallelogram

c. Rectangle

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10. The scale of a map is 1:25,000.
a. Two villages are 8 cm apart on the map. How far apart are they in real
life? Give your answer in kilometres. [3]

b. The distance from a village to the edge of a lake is 12 km in real life. How
far apart would they be on the map? Give your answer in centimetres. [3]

11. The two triangles below are similar.

a. Using Pythagoras’ theorem, calculate the value of 𝑝. [2]

b. Calculate the scale factor of the enlargement. [2]

c. Calculate the values of

i. 𝑥 [1] ii. 𝑦 [1]

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12. Using a ruler, pencil, and compass, construct △ 𝐴𝐵𝐶 such that 𝐴𝐵 = 8 𝑐𝑚, 𝐴𝐶 =
6 𝑐𝑚 and 𝐵𝐶 = 12 𝑐𝑚. Using the given line, let 𝐵𝐶 be the base of the triangle.
Remember to label the lines. [6]

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 13. Connie leaves home on her bicycle to visit her grandparents. The graph below
shows her journey.

a. How long does she stay with her grandparents? [1]

b. What was her average speed

i. on the outward journey [2]

ii. on the homeward journey [3]

c. State which journey is the faster – the outward journey or the homeward
journey? ________________________________________ [1]

-END OF EXAMINATION-

IF YOU HAVE FINISHED AND THERE IS TIME LEFT, CHECK OVER YOUR WORK!

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