Daily Practice · Higher Plus
November 1981 5-a-day
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The batch download puts all 5 tiers' November 1981 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1981x = 160 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2nd November 1981A quadratic sequence starts 0, 1, 4, 9. Work out the second difference, and the coefficient of n^2.
- 3rd November 1981y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 4th November 1981A cuboid measures 15 cm by 8 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th November 1981A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 6th November 1981On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 7th November 1981A car covers 770 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 8th November 1981Solve x^2 + 12x + 35 < 0.
- 9th November 1981y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 10th November 1981A cuboid measures 13 cm by 13 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th November 1981A bag holds 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 12th November 1981A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 13th November 1981Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
- 14th November 1981Write x^2 - 4x - 7 in the form (x + a)^2 + b.
- 15th November 1981y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 49.
- 16th November 1981The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 17th November 1981A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 18th November 1981On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 19th November 1981Simplify sqrt(20) + sqrt(125), giving your answer in the form a sqrt(b).
- 20th November 1981Work out the coordinates of the turning point of y = x^2 + 12x - 12.
- 21st November 1981A train slows steadily from 18 m/s to rest in 8 seconds. Work out its deceleration.
- 22nd November 1981In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 23rd November 1981The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?
- 24th November 1981A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 0.6. How many values in total?
- 25th November 1981A rectangle is 14 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 26th November 1981Simplify (x^2 + 4x - 21)/(x - 3).
- 27th November 1981y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
- 28th November 1981In a vector proof you find that vector PQ = 5a - 2b and vector RS = 25a - 10b. What does this show about PQ and RS?
- 29th November 1981A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 30th November 1981On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?