Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

4th September 2007

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

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 6 cm and 16 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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