Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th December 1991

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

1
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.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 490 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 9) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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