Daily Practice

Higher Plus

16th November 1969

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

1
Bounds3 marks
x = 35 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 25, 46, 73. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 8 wins. How many games did they play?

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