Daily Practice

Higher Plus

28th December 1964

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 8.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.

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