Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th April 1992

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
On a histogram the bar for 10 < x <= 15 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
x = 63 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.

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