Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th July 2017

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 3) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 17 cm, 12 cm and 9 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.

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