Daily Practice · Higher

Daily Practice - Higher

5th January 1997

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

1
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
4 teas and 4 cakes cost £19.00. 1 tea and 2 cakes cost £8.00. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 72. Work out y when x = 12.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 57°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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