Daily Practice

Higher Plus

13th January 1983

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(18), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 - 16x + 8 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 8 cm and 16 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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