Daily Practice

Higher Plus

5th January 1956

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
2
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 6 cm and 8 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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