Daily Practice

Higher Plus

30th October 1962

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

1
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
2
Transforming Graphs y=f(x)3 marks
The point (-1, 6) lies on y = f(x). Write down its image on y = f(-x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 22 cm, 14 cm and 11 cm. Work out the angle opposite the 22 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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