Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th March 2011
- 1Reverse Percentages3 marks
A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 2Simultaneous Equations3 marks
2 teas and 2 cakes cost £6.70. 1 tea and 3 cakes cost £6.85. Find the price of a tea.
- 3Repeated Percentage Change3 marks
A town's population is 27000 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 6 cm and an angle of 54°. Work out the side opposite that angle, to 1 decimal place.
- 5Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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