Daily Practice

Higher Plus

13th June 1985

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
2
Transforming Graphs y=f(x)3 marks
The point (-5, 4) lies on y = f(x). Write down its image on y = f(x) - 5.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 7 cm with an angle of 149° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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