Daily Practice

Higher

15th September 1990

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

1
The Product Rule for Counting2 marks
A meal deal has 7 mains, 8 sides and 5 drinks. How many different meals are possible?
2
Simultaneous Equations3 marks
4 teas and 1 cake cost £6.75. 3 teas and 5 cakes cost £10.80. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 4.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 19 cm and an angle of 47°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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