Question 1 of 3 · No calculator needed
Put -2.07, -2.7, -2.17 and -2.071 in ascending order.
Ascending means smallest to largest. For negative numbers, the value furthest below zero is smallest: -2.7 < -2.17 < -2.071 < -2.07.
OCR · GCSEMathematics,
Mathematics,
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Specification J560. Explore a topic, practise the skill, and see where to focus next.
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OCR · J560LearningP is independent of OCR. Use the current official documents for assessment requirements.
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Three questions. See the difference.
Try three different Mathematics skills from this OCR route. See what went right, understand a mistake, and find a useful next step.
3questions · 3 skills
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Question 2 of 3 · No calculator needed
Work out 27^(2/3).
The denominator 3 means take the cube root and the numerator 2 means square: 27^(2/3) = (∛27)² = 3² = 9.
Question 3 of 3 · No calculator needed
The point (3, 4) lies on x² + y² = 25. What is the gradient of the tangent there?
The radius from (0, 0) to (3, 4) has gradient 4/3. A tangent is perpendicular to the radius, so its gradient is the negative reciprocal, -3/4.
These tiles show your answers to three questions. They are a starting point, not a mastery score or grade prediction.
Number Operations and Integers
Correct answer: -2.7, -2.17, -2.071, -2.07
Ascending means smallest to largest. For negative numbers, the value furthest below zero is smallest: -2.7 < -2.17 < -2.071 < -2.07.
Indices and Surds
Correct answer: 9
The denominator 3 means take the cube root and the numerator 2 means square: 27^(2/3) = (∛27)² = 3² = 9.
Graphs of Equations and Functions
Correct answer: -3/4
The radius from (0, 0) to (3, 4) has gradient 4/3. A tangent is perpendicular to the radius, so its gradient is the negative reciprocal, -3/4.
For parents: look at the explanation together. A correct answer is encouraging; a missed answer gives you something specific to work on. Broader practice over time is needed to understand progress.
YOUR TOPIC MAP
12 areasFind your starting point.
01Number Operations and Integers
Specification reference: OCR 1
Number Operations and Integers requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Number Operations and Integers requires. Keep exact values until the final step and check signs, units and reasonableness.
02Fractions, Decimals and Percentages
Specification reference: OCR 2
Fractions, Decimals and Percentages requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Fractions, Decimals and Percentages requires. Keep exact values until the final step and check signs, units and reasonableness.
03Indices and Surds
Specification reference: OCR 3
Indices and Surds requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Indices and Surds requires. Keep exact values until the final step and check signs, units and reasonableness.
04Approximation and Estimation
Specification reference: OCR 4
Approximation and Estimation requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Approximation and Estimation requires. Keep exact values until the final step and check signs, units and reasonableness.
05Ratio, Proportion and Rates of Change
Specification reference: OCR 5
Ratio, Proportion and Rates of Change requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Ratio, Proportion and Rates of Change requires. Keep exact values until the final step and check signs, units and reasonableness.
06Algebra
Specification reference: OCR 6
Algebra requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Algebra requires. Keep exact values until the final step and check signs, units and reasonableness.
07Graphs of Equations and Functions
Specification reference: OCR 7
Graphs of Equations and Functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Graphs of Equations and Functions requires. Keep exact values until the final step and check signs, units and reasonableness.
08Basic Geometry
Specification reference: OCR 8
Basic Geometry requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Basic Geometry requires. Keep exact values until the final step and check signs, units and reasonableness.
09Congruence and Similarity
Specification reference: OCR 9
Congruence and Similarity requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Congruence and Similarity requires. Keep exact values until the final step and check signs, units and reasonableness.
10Mensuration
Specification reference: OCR 10
Mensuration requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Mensuration requires. Keep exact values until the final step and check signs, units and reasonableness.
11Probability
Specification reference: OCR 11
Probability requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Probability requires. Keep exact values until the final step and check signs, units and reasonableness.
12Statistics
Specification reference: OCR 12
Statistics requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Statistics requires. Keep exact values until the final step and check signs, units and reasonableness.
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OCR · GCSE · Mathematics · J560
Version 2.0, May 2026
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
Can parents and students try LearningP before signing up?
Yes. This page offers three original questions from three different skills on this exact course. Each answer has an explanation, followed by a sample heatmap showing what was correct and what to revisit. No account is needed, and taster answers are not saved.
What does the three-question heatmap tell a parent?
It shows the outcome of these three answers and gives a specific skill to discuss or practise next. It is not a full assessment, a mastery score or a grade prediction. Broader practice over time is needed to understand progress.
What does the OCR GCSE Mathematics route cover?
LearningP currently maps 12 assessed areas for specification J560. The visible topic map below is derived from the verified route; the current official specification remains controlling.
How many LearningP questions support this route?
The verified source bank contains 172 original LearningP question records for this route. Every mapped area meets the current publication minimum and passed the latest blocker and review audit.
Does LearningP reproduce official exam questions?
No. LearningP uses official specifications and assessment materials to map content and demand, while its practice questions and explanations are independently authored.
Can this page predict an exam grade?
No. LearningP reports practice evidence, coverage, strengths and gaps. It does not guarantee or automatically predict examination outcomes.
Where should current assessment information be checked?
Use the official OCR specification and assessment-resource pages linked on this page, together with information supplied by the learner’s school.
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