Daily Practice

Higher Plus

30th December 1979

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

1
Bounds3 marks
x = 65 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - 36)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 12 cm and 7 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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