Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th July 2003

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
3
Bounds3 marks
A block has mass 290 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Completing the Square3 marks
Write x^2 - 8x - 12 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.

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