Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th August 2001

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 530 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 + 5x - 14)/(x - 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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