Daily Practice

Higher Plus

19th April 1959

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

1
Bounds3 marks
x = 99 and y = 32, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 + 6x - 7 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 7 cm and 8 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.

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