Daily Practice

Higher Plus

23rd December 1962

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

1
Bounds3 marks
x = 168 and y = 139, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the midpoint. Write vector ON in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?

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