0:00
Year 9 Essential Skills
Select the skills to practice, and then click Go!
Algebra: Straight line graphs
Identify gradient from y = mx + c
\[ y = 3x + 5 \rightarrow m = \text{?} \]
Identify the gradient from an equation.
Identify y-intercept from y = mx + c
\[ y = 2x – 7 \rightarrow (0, \text{?}) \]
Identify the y-intercept from an equation.
Write equation of parallel line
\[ \text{Parallel to } y = 4x + 1 \]
Write equation through a given y-intercept.
Algebra: Equations
Solve two-step equation
\[ 3x + 5 = 20 \]
Solve a two-step linear equation.
Solve equation with brackets
\[ 2(x + 4) = 14 \]
Solve an equation involving brackets.
Solve equation with unknowns on both sides
\[ 5x + 3 = 2x + 15 \]
Solve with variable on both sides.
Solve simple inequality
\[ 3x + 2 < 14 \]
Solve a linear inequality.
Rearrange formula (one operation)
\[ d = st \text{, make } t \text{ subject} \]
Rearrange a simple formula.
Algebra: Expressions
Expand single bracket
\[ 4(2x + 3) \]
Expand by multiplying each term inside.
Expand double brackets
\[ (x + 3)(x + 5) \]
Expand and simplify two binomials.
Number: Percentages
Percentage of amount
\[ 35\% \text{ of } £240 \]
Find a percentage of an amount.
Percentage increase
\[ \text{Increase } £80 \text{ by } 15\% \]
Calculate result after percentage increase.
Percentage decrease
\[ \text{Decrease } £120 \text{ by } 25\% \]
Calculate result after percentage decrease.
Find the multiplier
\[ 8\% \text{ increase} \rightarrow \text{?} \]
Convert percentage change to multiplier.
Reverse percentage
\[ £60 \text{ after } 20\% \text{ inc} \]
Find original before percentage change.
Number: Standard form
Write in standard form
\[ 4500000 \rightarrow a \times 10^n \]
Convert large number to standard form.
Convert from standard form
\[ 3.2 \times 10^5 \rightarrow \text{?} \]
Convert standard form to ordinary number.
Number: HCF and LCM
Find the HCF
\[ \text{HCF of } 24 \text{ and } 36 \]
Find highest common factor.
Find the LCM
\[ \text{LCM of } 6 \text{ and } 8 \]
Find lowest common multiple.
Geometry: Pythagoras
Find the hypotenuse
\[ \text{Sides } 6, 8 \rightarrow c = \text{?} \]
Calculate the hypotenuse.
Find a shorter side
\[ c = 13, a = 5 \rightarrow b = \text{?} \]
Calculate a shorter side.
Geometry: Angles
Angles in a triangle
\[ 65° + 48° + \text{?} = 180° \]
Find missing angle using sum of 180°.
Angles on a straight line
\[ x° + 125° = 180° \]
Angles on a line sum to 180°.
Angles around a point
\[ x° + 210° + 85° = 360° \]
Angles around a point sum to 360°.
Ratio and proportion
Simplify a ratio
\[ 15 : 25 \rightarrow \text{?} : \text{?} \]
Write ratio in simplest form.
Share in a ratio
\[ £40 \text{ in ratio } 3 : 5 \]
Divide quantity in a given ratio.
Find total from one share
\[ 2 : 5 \text{, Jo gets } £35 \]
Find total when one share is known.
Find total given one gets more
\[ 6 : 5 \text{, Mo gets } £10 \text{ more} \]
Find total or share from difference.
Rates: Speed distance time
Calculate speed
\[ 150 \text{ miles in } 3 \text{ hours} \]
Speed = Distance ÷ Time
Calculate distance
\[ 80 \text{ mph for } 2.5 \text{ hours} \]
Distance = Speed × Time
Calculate time
\[ 45 \text{ km at } 15 \text{ km/h} \]
Time = Distance ÷ Speed
Probability
Single event probability
\[ P(\text{rolling} > 4) = \text{?} \]
Probability from equally likely outcomes.
Expected outcomes
\[ \text{Spin 60 times, expect?} \]
Expected frequency over multiple trials.
Combined probability (AND)
\[ P(\text{2 heads}) = \text{?} \]
Probability of two events both occurring.
Sequences
Find the nth term (linear)
\[ 5, 8, 11, 14, … \]
Find nth term rule for arithmetic sequence.
Find a term from nth term rule
\[ 4n – 3 \rightarrow 10\text{th term} \]
Substitute into nth term rule.
Continue an arithmetic sequence
\[ 7, 12, 17, 22, … \]
Find next two terms.
Timer (Optional)
0:00
Question