Daily Practice

Higher Plus

12th June 1973

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 = 4, y = 192. Work out y when x = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 8 cm and an area of 44.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
4
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).

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