Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th October 1992

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

1
Bounds3 marks
x = 85 and y = 32, 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 = 360.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 8 cm with an angle of 124° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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