Daily Practice

Higher

6th October 1986

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices2 marks
Write 7^-3 as a fraction.
2
Simultaneous Equations3 marks
2 teas and 1 cake cost £5.55. 1 tea and 3 cakes cost £8.15. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 45°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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