Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th August 1995

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

1
Bounds3 marks
x = 196 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - 9)/(x - 3).
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 of 12 cm and 16 cm with an angle of 120° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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