2nd Year Higher Level Maths Summer Test

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

• €2756.50

• €2786.55

• €2756.25

• €2732.21

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.

• 7000

• 6500

• 9140

• 4860

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.

• 8750

• 6250

• 7050

• 11250

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.

• € 33,270

• € 35,600

• € 34,600

• € 30,270

Solve the following simultaneous equations.

3a + 2b = -5

5a + 4b = -9

• a = 1, b = - 4

• a = 1, b = 1

• a = - 1, b = - 1

• a = 0.5, b = 3

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

• x  $\le$  - 6

• x  $\le$  12

• x  $\ge$  - 6

• x  $\le$  - 12

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

• 
• 
• 
• 

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

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

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

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

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

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

•  $\sqrt{41}$  units

•  $\sqrt{89}$  units

•  $\sqrt{53}$  units

•  $\sqrt{65\ }$  units

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

• (4, 4)

• (2, 2)

• (2, 4)

• (1, 2)