Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th December 1993

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

1
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 3 = y(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 11 cm with an angle of 65° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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