Daily Practice

Higher Plus

23rd September 1985

5 questions · 15 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 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Transforming Graphs y=f(x)3 marks
The point (-5, -1) lies on y = f(x). Write down its image on y = f(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. P is the midpoint. Write vector OP in terms of b and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?

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