Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th May 2020

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 12 cm and 11 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

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