Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th January 2024

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

1
Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 16 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 14, 28, 46, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.

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