Questions: Ratio, gradients, similarity and growth
New numbers every time.
Fractions, ratio notation and linear functions
- One quantity as a fraction of anotherWrite, 2 marks, Plus
- One quantity as a percentage of anotherWork out, 2 marks, Plus
- A three-part ratio in different unitsSimplify, 3 marks, Plus
- The ratio that matches the wordsChoose, 1 mark, Plus
- Fractions from a ratio, part to part and part to wholeWrite, 3 marks, Plus
- A ratio as a linear functionWrite, 3 marks, Plus
- A ratio from a straight-line graphUse, 4 marks, Plus
- Three groups from fractions, then a totalWork out, 5 marks, Plus
- Who spends the greater fraction of their shift?Work out, 4 marks, Plus
- A rectangle from a ratio and a perimeter in metresWork out, 5 marks, Plus
Gradients as rates
- A rate of flow from a straight-line graphWork out, 2 marks, Plus
- The units of a gradientChoose, 1 mark, Plus
- What the intercept meansChoose, 1 mark, Plus
- A fixed charge and a rate from a graphUse, 3 marks, Plus
- Two rates on one graphWork out, 3 marks, Plus
- A rate from two readings at clock timesWork out, 3 marks, Plus
- What a gradient means, and using itUse, 2 marks, Plus
- A linear model from two readingsWork out, 4 marks, Plus
- Two taps filling a tankWork out, 5 marks, Plus
- A falling straight-line graphUse, 3 marks, Plus
Similar shapes and scale factors
- Similar shapes from their perimetersWork out, 2 marks, Plus
- Length, area and volume ratiosChoose, 1 mark, Plus, Higher tier
- The area of a similar shape from a ratio of lengthsWork out, 3 marks, Plus, Higher tier
- A volume from the surface areas of similar solidsWork out, 4 marks, Plus, Higher tier
- Mass and cost of a similar solidWork out, 5 marks, Plus, Higher tier
- Similar triangles from a parallel line and a ratioWork out, 4 marks, Plus
- Similar, congruent or neither?Choose, 1 mark, Plus
- A scale model as a ratioWork out, 3 marks, Plus
- A length from the volumes of similar solidsWork out, 3 marks, Plus, Higher tier
- A support under a ramp: similar trianglesWork out, 4 marks, Plus
Repeated proportional change
- The multiplier for a percentage changeChoose, 1 mark, Plus
- Year by year growth or decay in a tableComplete, 3 marks, Plus
- Compound interest without a calculatorWork out, 3 marks, Plus
- Repeated decrease: medicine and bouncesWork out, 3 marks, Plus
- An increase, then two years of decreaseWork out, 5 marks, Plus
- Growth given as a ratio from year to yearWork out, 3 marks, Plus
- When does one population pass another?Work out, 4 marks, Plus
- Which savings account gives more?Work out, 5 marks, Plus
- The value before repeated decrease (H)Work out, 4 marks, Plus, Higher tier
- Interest added and money taken out each year (H)Work out, 6 marks, Plus, Higher tier
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