Daily Practice

Higher Plus

21st September 1958

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

1
Bounds3 marks
x = 57 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 - 8x + 7 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 13 cm and 9 cm. Work out the angle opposite the 15 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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