Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
2nd September 2026
- 1Speed and Density2 marks
A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 7 cm and an angle of 63°. Work out the side adjacent to that angle, to 1 decimal place.
- 3Probability Trees3 marks
5 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Cumulative Frequency2 marks
Four classes in order have frequencies 11, 9, 5, 5. Write down the cumulative frequency at the end of the third class.
- 5Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.3131... as a fraction in its simplest form.
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