Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 45 wins. How many games did they play?
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