Daily Practice

Higher Plus

8th November 1966

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

1
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x - 8.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 12 cm and 6 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.

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