Find the value of n, when 3ⁿ x 3² = 81

(a)  

The nth term of a sequence is 10n-8. Work out the 100th term of the sequence.

(a)  

Work out the inverse function of

y=(x+9)/4

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(a)  

Work out the value of the expression when x=5 and y=3.

(x+2y)²

(a)  

It takes Omar 3¼ hours to drive a distance of 273 km. Work out his average speed.

Note: Type your answer with no spacing between value and unit.

(a)  

Train A travles 185 km in 1¼ hours. Train B travels 500 km in 3½ hours. Which train travels faster, Train A or Train B?

(a)  

The interior angle of a regular polygon is 140°.

How many sides does the polygon have?

(a)  

One angle of a hexagon is 90°. The other angles are all equal. How big are the other angles?

(a)  

A right-angled triangle has a base length of 1.2 m and a perpendicular height of 0.9 m. calculate the length of the diagonal line.

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(a)  

A ladder is 5 m long. Dave rests the ladder against a vertical brick wall. The foot of the ladder is 1.5 m horizontally from the base of the wall. How far up the wall does the ladder reach?

Note: Round off your answer correct to 2 decimal place. Type you answer with no spacing between value and unit.

(a)  

Ahmad thinks of a number, n. He doubles the number then adds 5. Write down an expression, in terms of n.

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(a)  

Write a formula for the total pay, P dollars, Li earns when he works H hours at R dollars per hour.

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(a)  

Factorise

4a + 8ab

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(a)  

In school A, 85 students took a mathematics exam and 59 passed.

In school B, 237 students took a mathematics exam and 147 passed.

Which school had a better pass rate, School A or School B?

(a)  

In May 800 people visited a museum. In June 900 people visited. In July, the number was 800 again. Work out the percentage increase from May to June.

Note: Type your answer correct to 1 decimal place with no spacing between value and unit.

(a)  

A man earns $45 000 in a year.

He can earn $16 000 without paying any tax. He pays 24% tax on anything above %16 000.

Work out how much tax he pays.

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(a)  

Solve the equation 2(x - 5) = 2 + 8x.

Note:

Type your answer like the below sample with no spacing

x=?

(a)  

Xavier thinks of a number. He doubles the number. He adds 3. He doubles again. The answer is 70. What number did he think of?

(a)  

Solve these simultaneous equations.

3x + 2y = 60

y = 2x - 5

Note:

Type your answer with no spacing like below sample

x=?,y=?

(a)  

Convert 6 m² to cm²

Note: Only type the answer (value) with no spacing (without unit)

(a)  

Convert 2300 cm³ to litres

Note: Only type the answer (value) with no spacing (without unit)

(a)  

Convert 125 000 m² to hectares

Note: Only type the answer (value) with no spacing (without unit)

(a)  

A circle has area 24 cm². What is the radius of the circle?

Use the 'π' button on the calculator. Give your answer correct to one decimal place.

Note:

Type you answer with no spacing between value and unit

(a)  

A prism has a volume of 91 cm³.

The area of the cross-section is 13 cm².

What is the length of the prism?

Note:

Type your answer with no spacing between value and unit.

(a)  

A cylinder has volume 552.2 cm³. The radius of the circular end is 5.2 cm. What is the height of the cylinder? Give your answer correct to one decimal place in centimetres.

Note:

Type your answer with no spacing between value and unit

(a)