Reading values from a proportionality graph: GCSE Practice
Direct and inverse proportion
Reading values from a proportionality graph
17 self-marking GCSE and IGCSE practice questions on Reading values from a proportionality graph, written specifically for AQA, Pearson, OCR, Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Extended tier. Instant marking with full worked solutions on every question.
Sample Reading values from a proportionality graph questions
A few of the 17 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 4-5
y is inversely proportional to x, so y=x8
What are the common mistakes in Reading values from a proportionality graph?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Misreads the scale or values on a graph's axis
Read the line at x=3 instead of x=2 - an off-by-one error when counting gridlines along the x-axis
Uses addition where the correct operation was multiplication
Uses addition instead of multiplication in y = 1.5x, clicking the point where y = 1.5 + 6 = 7.5 instead of y = 1.5 x 6 = 9.
Misapplies the relationship between the parts of a ratio
Calculated k×x
Quick answers about Reading values from a proportionality graph
How many Reading values from a proportionality graph practice questions are there?
There are 17 self-marking GCSE and IGCSE Maths questions on Reading values from a proportionality graph, written for AQA, Pearson, OCR, Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Extended tier. Each one is marked instantly and has a full worked solution.
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No. You can start practising Reading values from a proportionality graph straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
. The graph shows the curve for
x>0
. Click the point on the curve where
x=2
to find the value of
y
.
Show the worked solution
Since y is inversely proportional to x, the graph is the curve y=x8. M1
Reading off the graph at x=2: y=28=4A1
Question 22 marksGrade 4-5
Chen fills up a fuel tank. The cost, £y, is directly proportional to the number of litres bought, x. The graph shows the line y=2x. Click the point on the line where x=3 to find the value of y.
Show the worked solution
Since y is directly proportional to x, the graph is a straight line y=2x through the origin. M1
Reading off the graph at x=3: y=2×3=6
Question 32 marksGrade 4-5
Eli earns money dog walking. His pay, £y, is directly proportional to the number of dogs he walks, x. The graph shows the line y=8x. Click the point on the line where x=2 to find the value of y.
Question 42 marksGrade 4-5
Hana sells candles at a craft fair. Her earnings, £y, are directly proportional to the number of candles sold, x. The graph shows the line y=7x. Click the point on the line where x=3 to find the value of y.
Question 52 marksGrade 4-5
Jade waters the plants in her garden. The volume of water used, y litres, is directly proportional to the number of plants watered, x. The graph shows the line y=8x. Click the point on the line where x=4 to find the value of y.
Question 62 marksGrade 4-5
Zara cycles at a constant speed. The distance travelled, y km, is directly proportional to the time, x hours. The graph shows the line y=12x. Click the point on the line where x=2 to find the value of y.