Daily Practice · Higher Plus
April 1980 5-a-day
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The batch download puts all 5 tiers' April 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 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.
- 2nd April 1980The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?
- 3rd April 1980A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 4th April 1980Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
- 5th April 1980Make x the subject of 7x + 2 = y(x + 2).
- 6th April 1980y is inversely proportional to x^2. When x = 3, y = 8. Work out y when x = 2.
- 7th April 1980In a vector proof you find that vector PQ = a - 4b and vector RS = 2a - 8b. What does this show about PQ and RS?
- 8th April 1980A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
- 9th April 1980On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 10th April 1980Simplify sqrt(48) + sqrt(48), giving your answer in the form a sqrt(b).
- 11th April 1980Write 7/(x - 5) + 3/(x - 2) as a single fraction.
- 12th April 1980y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.
- 13th April 1980A cuboid measures 4 cm by 6 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th April 1980A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th April 1980A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?
- 16th April 1980A rectangle is 19 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 17th April 1980Solve 20x^2 + 9x - 18 = 0.
- 18th April 1980y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 36.
- 19th April 1980A cuboid measures 8 cm by 8 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th April 1980A bag holds 4 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st April 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?
- 22nd April 1980Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
- 23rd April 1980f(x) = 6x + 5. Work out the inverse function f^-1(x).
- 24th April 1980A train slows steadily from 19 m/s to rest in 10 seconds. Work out its deceleration.
- 25th April 1980The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 26th April 1980A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 27th April 1980A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 28th April 1980A block has mass 710 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 29th April 1980Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
- 30th April 1980y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.