Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 2Simultaneous Equations3 marks
3 teas and 4 cakes cost £15.35. 1 tea and 5 cakes cost £12.45. Find the price of a tea.
- 3Repeated Percentage Change3 marks
A town's population is 21500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 38°. Work out the side opposite that angle, to 1 decimal place.
- 5Probability Trees3 marks
4 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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