Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th January 1997

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 18. Work out y when x = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 10 cm and an area of 20.00 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
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
5
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).

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