Free Printable 2nd Year Higher Level Maths Summer Test

1.

€2500 is invested at 5 % interest for 2 years. Calculate the final value of the investment.

a)

€2756.50

b)

€2786.55

c)

€2756.25

d)

€2732.21

2.

James earns €35,000 per annum. He pays tax at a rate of 20 %. He has a tax credit of €2140. Calculate his gross tax.

a)

7000

b)

6500

c)

9140

d)

4860

3.

James earns €35,000 per annum. He pays tax at a rate of 25 %. He has a tax credit of €2500. Calculate his tax payable.

a)

8750

b)

6250

c)

7050

d)

11250

4.

Michael earns €40,000 per annum. He pays tax at the standard rate of 21 %. The higher rate of tax is 40 %. The standard rate cut off point is €33,000. He has a tax credit of €3000. Calculate his net pay.

a)

€ 33,270

b)

€ 35,600

c)

€ 34,600

d)

€ 30,270

5.

Solve the following simultaneous equations.

3a + 2b = -5

5a + 4b = -9

a)

a = 1, b = - 4

b)

a = 1, b = 1

c)

a = - 1, b = - 1

d)

a = 0.5, b = 3

6.

Solve the inequality 3x + 8 $\le$ x - 4

a)

x $\le$ - 6

b)

x $\le$ 12

c)

x $\ge$ - 6

d)

x $\le$ - 12

7.

Which is the correct numberline for the inequality x $<$ 2, x $\in N$

a)

b)

c)

d)

8.

Using the Laws on Indices solve the following equations. Find the value of x.

a)

(a) $5^5$ , (b) $3^3$ , (c) $6^{20}$

b)

(a) $5^1$ , (b) $3^{28}$ , (c) $6^{-1}$

c)

(a) $5^{-1}$ , (b) $3^4$ , (c) $6^1$

d)

(a) $5^6$ , (b) $3^{11}$ , (c) $6^9$

9.

Find $\left|AB\right|$ if A = (- 3, 6) and B = (- 2, - 2)

a)

$\sqrt{41}$ units

b)

$\sqrt{89}$ units

c)

$\sqrt{53}$ units

d)

$\sqrt{65\ }$ units

10.

Find the midpoint of the line segment joining the points (- 2, 0) and (6, 8)

a)

(4, 4)

b)

(2, 2)

c)

(2, 4)

d)

(1, 2)

11.

Find the slope of the line joining (2, 3) to (8, 5).

a)

Slope = ⁵/₃

b)

Slope = 3

c)

Slope = - ²/₃

d)

Slope = ¹/₃

12.

Find the volume of a rectangular solid with length 50 cm, width 20 cm, height 25 cm.

a)

95 cm³

b)

25,000 cm³

c)

20,000 cm³

d)

1,000 cm³

13.

Taking $\pi$ = $\frac{22}{7}$ , find the volume of a cylinder with radius = 5 cm and height = 13 cm.

Give your answer correct to one decimal place.

a)

1021.4 $cm^3$

b)

1021.3 $cm^3$

c)

1021.5 $cm^3$

d)

1021 $cm^3$

2nd Year Higher Level Maths Summer Test

Total questions: 13

Worksheet time: 37mins

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