Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd August 1998

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

1
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/7. 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
x = 68 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Factorising Harder Quadratics3 marks
Solve 10x^2 - 37x + 30 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 64.

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