Daily Practice · Higher

Daily Practice - Higher

23rd March 1996

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

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
3 teas and 2 cakes cost £12.05. 1 tea and 4 cakes cost £13.35. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 13 cm and an angle of 53°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
4 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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