Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th July 1994

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

1
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
2
Algebraic Fractions3 marks
Write 4/(x + 1) + 7/(x + 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 8 cm and 13 cm with an angle of 51° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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