Daily Practice

Higher Plus

9th September 1958

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 10 cm and an area of 32.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.

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