Year 10 revision

Algebra

100

Solve for y:

y = 4x + c

x = 3

c = -5

What is 7?

y = 4 * 3 - 5

y = 12 - 5

y = 7

200

Simplify:

3x²y² * 4xy³

What is 12x³y⁵ ?

When multiplying powers of exponents you add them!

300

Expand and simplify

(x - 9)(x + 3)

What is x² -6x -27 ?

x² +3x -9x -27

= x² -6x -27

400

Factorize:

x² -5x - 24

What is: (x - 8)(x + 3) ?

-8 * 3 = -24

-8 + 3 = -5

500

The equation for this sequence:

1, 4, 7, 10, 13

What is: y = 3x -2 ?

First difference = 3

3 x 1 = 3 (need to subtract 2)

Number

100

Round this number:

672 cm to (1sf)

What is 700 cm?

1 significant figure is the first information holding number. 

The rest are rounded.

200

Simplify into the smallest fraction possible:

24/44

What is 6/11?

Both can be divided by 4!

300

0.00315 mol in standard form:

What is 3.15 x10^-3 mol ?

The decimal is moved back 3 places to make one number the place holder.

400

To decrease a number by 15% you multiply by:

What is Multiply by 0.85 ?

Convert the percentage to a decimal, then subtract this from 1.

500

There is a ratio of 6:4 boys to girls at a concert.

If there is 24 boys there is ____ girls

What is 16 girls?

24 / 6 = 4

4 x 4 = 16

Geometry

100

The total internal angle of a triangle:

What is 180^o

200

Complementary angles add up to:

That is 90^o?

300

The formulae used to calculate the total internal angle of any polygon:

What is 180*(n-2)?

400

All three angles of this shape are 60^o:

What is an equilateral triangle?

500

Opposite angles of this shape add to 180^o

What is a cyclic quadrilateral?

Measurement

100

Convert  4370 ml to L

What is 4.37 L ?

Divide by 1000.

200

21000 mm³ given as cm³:

What is 21cm³ ?

you need to divide by 10 three times,

one for each dimension!

300

The weight of a chocolate bar is 55 g.  

The weight (in kg) of a box of 50 chocolate bars is:

What is 2.75kg

55 g x 50 g = 2750 g

2750 g / 1000 = 2.75 kg

400

A box is 3cm by 6cm by 10cm

This box can hold ____ ml:

What is 180 ml?

3 x 6 x 10 = 180 cm³

180 cm³ = 180 ml

500

The formulae

v = 4/3 * pi * r³ 

is used to calculate the volume of:

What is a sphere?

Trigonometry and Pythagoras

100

The name of this famous expression:

C² = A² + B²

What is Pythagoras's theorem?

200

The name of all 3 trigonometry functions:

What is:

Sine 

Cosine 

and Tangent?

300

The trigonometric ratio of the opposite side divided by the Hypotenuse:

What is sine?

400

These are used to find the angle in a right angle triangle:

What is inverse Trigonometric functions?

500

Trigonometry and Pythagoras are only used to solve:

What is a right angle triangle?