Daily Practice

Higher Plus

7th March 1966

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 4 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 (-1, 0) lies on y = f(x). Write down its image on y = f(x) + 5.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. N is the midpoint. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 65 wins. How many games did they play?

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