Mathematics Quiz

If √72 + √32 – 3√18 = x√8, find the value of x

• 1

• ¾

• ½

• ¼

Simplify 3√45 – 12√5 + 16√20, leaving your answer in surd form

• 29√5

• 14√15

• 3√15

• 11√5

A machine valued at $20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years

• $ 16, 200

• $ 14, 200

• $ 12,500

• $ 8,000

If log₁₀(6x – 4) — log₁₀2 = 1 , solve for x

• 2

• 3

• 4

• ¼

If log₃^x² = —8, what is the value of x

• 1/3

• 1/9

• 1/27

• 1/81

A man bought a television set on hire purchase for $ 250,000, put of wish he paid $100,000. If he is allowed to pay the balance in eight equal instalments , find the value of each instalment.

• $11, 250

• $15, 578

• $18,750

• $13050

The angle of elevation of the top of a tree 39m away from a point on the ground is 30°. Find the height of the tree

• 39√3 m

• 13√3 m

• 13/√3 m

• 13/3√3 m

The higher purchase price of a television is $25,000. To be able to buy it, the agreement is an initial deposit of $10,000 and a monthly payment of $5000. How long long will it take to complete the payment?

• 5 months

• 4 months

• 3 months

• 7 months

The angle subtended at the centre by a chord of a circle radius 6 cm is 120°. Find the length of the chord

• 3 cm

• 6 cm

• 4√2 cm

• 6 √ 3 cm

If €2, 500.00 amounted to €3,500.00 in 4 years at simple interest, find the rate at which the interest was charged.

• 5%

• 7½%

• 8%

• 10%