Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th August 2007

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
3
Bounds3 marks
A rectangle is 26 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.

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