Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th November 2001

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 = 2, y = 48. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides 20 cm, 13 cm and 16 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?
5
Bounds3 marks
A car covers 760 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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