Daily Practice

Higher Plus

21st October 1971

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 = 384. Work out y when x = 5.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 15 cm and an area of 68.94 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).

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