Daily Practice

Higher Plus

12th March 1989

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

1
Bounds3 marks
x = 81 and y = 12, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 12.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 9 cm and 12 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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