Daily Practice

Higher Plus

15th June 1987

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the midpoint. Write vector OM in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?

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