Daily Practice

Higher Plus

23rd April 1981

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 20 cm, 10 cm and 16 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.

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