Maths Quiz 2

Harder Algebraic Manipulation

100

8x = 12y + 10

Make y the subject of the formula in it's simplest form.

y = (4x - 5) / 6

200

Expand and simplify: (x + 4)² - (x - 2)(x + 2)

8x + 20 

300

Factorise completely: 2x² - 18

2(x - 3)(x + 3)

400

Simplify 6x²y³ / 3xy

2xy²

500

Factorise fully 4x³ - 9x

x(2x - 3)(2x + 3)

Harder Linear Equations

100

Solve 4(x - 3) = 2x + 10

x = 11

200

Solve (x + 5) / 3 = 7

x = 16

300

Solve 3(2x - 1) - 4 = 2(x + 7)

x = 5

400

Solve the simultaneous equations:

2x + y = 11

3x - y = 4

x = 3 and y = 5

500

Solve (5x - 3)/2 - (x + 1)/3 = 4

x = 33/7

Conversions

100

Convert 3.5 hours into minutes

210 minutes

200

Convert 250 cm into metres

2.5 m

300

Convert 72 km/h into m/s

20 m/s

(Because 72 ÷ 1000 x 3600 = 20)

400

A cyclist travels 12 km. What is this in cm?

1,200,000 cm

500

Convert 0.8 kg/m³ into g/cm³

0.0008 g/cm³

Bounds Calculations

100

A square has a side length of 4m (1sf). What is the maximum possible area of the square?

20.25m²

200

A rectangle has length 12 cm (nearest cm) and width 7 cm (nearest cm). Find the maximum possible area.

12.5 × 7.5 = 93.75cm²

300

A triangle has base 9 cm (nearest cm) and height 6 cm (nearest cm). Find the least possible area.

23.375 cm²

400

A rectangle has length 13 cm (nearest cm) and width 40 mm (nearest cm). Find the minimum possible area in cm².

49.375 cm²

500

A cube has a side length of 5 cm (nearest cm). Find the error interval for the volume of the cube to 3sf.

91.1 ≤ V < 166