Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th January 1997

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 95 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x + 13.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 63°, side a is 19 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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