Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th July 2017

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

1
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
2
Transforming Graphs y=f(x)3 marks
The point (4, 0) lies on y = f(x). Write down its image on y = f(x) + 3.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 11 cm with an angle of 73° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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