Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

12th February 2005

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
2
The Sine Rule3 marks
In triangle ABC, angle A is 68°, side a is 15 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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