Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th June 1991

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

1
Bounds3 marks
x = 93 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 2/(x + 4) + 3/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 13 cm and 14 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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