Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th September 1995

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 4/(x - 5) + 7/(x + 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 6 cm and 16 cm. Work out the angle opposite the 19 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 3/5. Work out n.

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