Daily Practice

Higher Plus

7th April 1983

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 = 360.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 30 wins. How many games did they play?

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