Daily Practice

Higher Plus

2nd May 1987

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 4/9. Work out n.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 130 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x + 11.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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