Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th December 1994

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 720 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
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 10, 22, 40, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 24 wins. How many games did they play?

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