Daily Practice

Higher

31st January 1983

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

1
Fractional and Negative Indices3 marks
Work out 64^(2/3).
2
Simultaneous Equations3 marks
2 teas and 2 cakes cost £8.50. 1 tea and 5 cakes cost £13.45. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 31°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
1 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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