Daily Practice

Higher

14th October 1989

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

1
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
5 teas and 3 cakes cost £12.55. 2 teas and 2 cakes cost £7.30. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 58°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
3 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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