Daily Practice

Higher Plus

13th July 1990

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 16 cm and an area of 55.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.

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