Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd March 1995

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
2
Transforming Graphs y=f(x)3 marks
The point (3, 5) lies on y = f(x). Write down its image on y = f(x) + 5.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 14 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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