Daily Practice

Higher

9th November 1975

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

1
Fractional and Negative Indices3 marks
Work out 8^(2/3).
2
Simultaneous Equations3 marks
5 teas and 2 cakes cost £12.55. 3 teas and 2 cakes cost £9.25. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 60. Work out y when x = 10.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 34°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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