Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th August 2003

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

1
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin 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 = 3, y = 135. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 9 cm and 14 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.

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