Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th February 2018

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

1
Bounds3 marks
A rectangle is 21 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Transforming Graphs y=f(x)3 marks
The point (-3, 4) lies on y = f(x). Write down its image on y = f(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 62°, side a is 11 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 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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