Daily Practice · Higher Plus
November 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1962 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1962A train slows steadily from 33 m/s to rest in 4 seconds. Work out its deceleration.
- 2nd November 1962In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 3rd November 1962The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?
- 4th November 1962A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?
- 5th November 1962A block has mass 800 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 6th November 1962A quadratic sequence starts 7, 10, 15, 22. Work out the second difference, and the coefficient of n^2.
- 7th November 1962y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
- 8th November 1962In a vector proof you find that vector PQ = 4a - 4b and vector RS = 20a - 20b. What does this show about PQ and RS?
- 9th November 1962A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 10th November 1962On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 11th November 1962x = 94 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.
- 12th November 1962Solve x^2 + 5x + 6 < 0.
- 13th November 1962y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 14th November 1962A cuboid measures 5 cm by 13 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th November 1962A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th November 1962A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
- 17th November 1962A car covers 680 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 18th November 1962Write x^2 + 10x - 10 in the form (x + a)^2 + b.
- 19th November 1962y is directly proportional to sqrt(x). When x = 16, y = 28. Work out y when x = 36.
- 20th November 1962A cuboid measures 4 cm by 11 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st November 1962A bag holds 5 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd November 1962On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 23rd November 1962Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
- 24th November 1962Work out the coordinates of the turning point of y = x^2 + 14x - 8.
- 25th November 1962A train slows steadily from 36 m/s to rest in 10 seconds. Work out its deceleration.
- 26th November 1962The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 27th November 1962A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 28th November 1962A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 29th November 1962Simplify sqrt(32) + sqrt(98), giving your answer in the form a sqrt(b).
- 30th November 1962Simplify (x^2 + 9x + 14)/(x + 2).