Daily Practice · Higher Plus
January 1980 5-a-day
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The batch download puts all 5 tiers' January 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1980y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
- 2nd January 1980In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 3rd January 1980The probability of winning a game is 9/10. A player expects 36 wins. How many games did they play?
- 4th January 1980On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 5th January 1980A car covers 210 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 6th January 1980Solve 6x^2 + 5x + 1 = 0.
- 7th January 1980y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 8th January 1980In a vector proof you find that vector PQ = 5a - 3b and vector RS = 15a - 9b. What does this show about PQ and RS?
- 9th January 1980A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
- 10th January 1980A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 11th January 1980Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
- 12th January 1980f(x) = 8x - 1. Work out the inverse function f^-1(x).
- 13th January 1980y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 36.
- 14th January 1980A cuboid measures 9 cm by 6 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th January 1980A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th January 1980On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 17th January 1980Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
- 18th January 1980Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 19th January 1980A train slows steadily from 27 m/s to rest in 10 seconds. Work out its deceleration.
- 20th January 1980A cuboid measures 11 cm by 11 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st January 1980A bag holds 5 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd January 1980A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
- 23rd January 1980A rectangle is 17 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 24th January 1980Use the iteration x(n+1) = cube root of (6x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
- 25th January 1980y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
- 26th January 1980The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 27th January 1980A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 14/33. Work out r.
- 28th January 1980On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 29th January 1980Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 30th January 1980Work out the nth term of the quadratic sequence 10, 21, 38, 61, ...
- 31st January 1980y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.