Daily Practice

Higher Plus

27th November 1967

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

1
Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 7 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 = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?

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