Daily Practice

Higher Plus

20th January 1953

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

1
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
2
Transforming Graphs y=f(x)3 marks
The point (4, -1) lies on y = f(x). Write down its image on y = -f(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 9 cm and 10 cm. Work out the angle opposite the 12 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 3/10. Work out n.

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