Daily Practice

Higher Plus

2nd August 1956

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(108), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 2/(x + 4) + 7/(x - 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 17 cm, 16 cm and 16 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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