Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th March 2026
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5959... as a fraction in its simplest form.
- 2Simultaneous Equations3 marks
4 teas and 4 cakes cost £17.00. 1 tea and 2 cakes cost £6.65. Find the price of a tea.
- 3Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 9. Write y in terms of x.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 46°. Work out the side adjacent to that angle, to 1 decimal place.
- 5Probability Trees3 marks
6 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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