Daily Practice · Higher Plus
August 1980 5-a-day
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The batch download puts all 5 tiers' August 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1980A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
- 2nd August 1980A car covers 660 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3rd August 1980f(x) = 6x + 12. Work out the inverse function f^-1(x).
- 4th August 1980y is inversely proportional to x^2. When x = 2, y = 18. Work out y when x = 3.
- 5th August 1980In a vector proof you find that vector PQ = a - 6b and vector RS = 5a - 30b. What does this show about PQ and RS?
- 6th August 1980A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
- 7th August 1980On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 8th August 1980Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
- 9th August 1980Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 10th August 1980y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 11th August 1980A cuboid measures 7 cm by 8 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th August 1980A 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?
- 13th August 1980A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
- 14th August 1980Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
- 15th August 1980Use the iteration x(n+1) = cube root of (2x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.
- 16th August 1980y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 25.
- 17th August 1980A cuboid measures 5 cm by 6 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th August 1980A bag holds 4 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th August 1980On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 20th August 1980A rectangle is 24 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 21st August 1980Work out the nth term of the quadratic sequence 7, 20, 39, 64, ...
- 22nd August 1980A train slows steadily from 17 m/s to rest in 4 seconds. Work out its deceleration.
- 23rd August 1980The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 24th August 1980A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
- 25th August 1980A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 26th August 1980Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
- 27th August 1980The point (-2, 4) lies on y = f(x). Write down its image on y = f(x) + 1.
- 28th August 1980y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 29th August 1980In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 30th August 1980The probability of winning a game is 3/8. A player expects 33 wins. How many games did they play?
- 31st August 1980On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?