Daily Practice

Higher Plus

17th August 1976

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

1
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x - 3.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 8 cm and 9 cm. Work out the angle opposite the 4 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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