Daily Practice

Higher Plus

20th April 1969

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

1
Bounds3 marks
x = 162 and y = 109, each correct to the nearest whole number. Work out the upper bound of x - y.
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 = 90.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 wins. How many games did they play?

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