Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd September 1992

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

1
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 6 cm and 9 cm. Work out the angle opposite the 9 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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