Daily Practice

Higher Plus

28th June 1973

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(75), 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 = 90.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the midpoint. Write vector OP in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 28 wins. How many games did they play?

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