Printable worksheet · 1 of 4
Part to part is not part to whole - Paper 1
Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.
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A collection contains only red and blue counters, with no overlap between groups. Red:blue = 6:21. There are 81 counters altogether for questions 1 and 2. Simplify the ratio first, count the equal ratio parts, and check both the total and the comparison. Question 3 is a NEW collection in the same ratio, with the red count given instead of the total.
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Check a calculation · Year 5 onward
Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.
Powers, roots and trigonometry · Year 7 onward
Use only when the task allows a calculator. Choose one operation at a time and record your working. Trigonometry here always uses degrees (DEG), not radians. Inverse sine, cosine and tangent return an angle, not a reciprocal. Keep exact fractions and π in answers when requested.
Approximate numerical results use up to 12 significant digits. Inverse sine returns −90° to 90°, inverse cosine 0° to 180°, and inverse tangent −90° to 90°; these are principal values, not every possible solution of a trigonometric equation.
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