Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th September 1994

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 179 and y = 86, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 58°, side a is 10 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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