Daily Practice

Higher

18th January 1990

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6161... as a fraction in its simplest form.
2
Simultaneous Equations3 marks
2 teas and 3 cakes cost £9.55. 1 tea and 5 cakes cost £13.00. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 3500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 25 cm and an angle of 53°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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