Daily Practice

Higher

28th August 1966

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

1
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
2 teas and 2 cakes cost £5.50. 2 teas and 4 cakes cost £8.10. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 2, y = 36. Work out y when x = 12.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 10 cm and an angle of 25°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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