Daily Practice

Higher Plus

28th January 1979

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

1
Bounds3 marks
x = 195 and y = 163, each correct to the nearest whole number. Work out the upper bound of x - y.
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 directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 30 wins. How many games did they play?

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