Daily Practice · Higher Plus
April 1979 5-a-day
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The batch download puts all 5 tiers' April 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1979The 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.
- 2nd April 1979A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 3rd April 1979On 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?
- 4th April 1979A rectangle is 22 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5th April 1979The point (4, 1) lies on y = f(x). Write down its image on y = f(x) - 6.
- 6th April 1979A train slows steadily from 12 m/s to rest in 5 seconds. Work out its deceleration.
- 7th April 1979In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 8th April 1979The probability of winning a game is 4/5. A player expects 44 wins. How many games did they play?
- 9th April 1979A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 10th April 1979Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 11th April 1979Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 12th April 1979y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 13th April 1979In a vector proof you find that vector PQ = 3a - 2b and vector RS = 6a - 4b. What does this show about PQ and RS?
- 14th April 1979A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
- 15th April 1979On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 16th April 1979A block has mass 260 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 17th April 1979f(x) = 4x + 7 and g(x) = 2x - 4. Work out fg(-1).
- 18th April 1979y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 19th April 1979A cuboid measures 13 cm by 12 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th April 1979A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st April 1979A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 22nd April 1979x = 67 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
- 23rd April 1979The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 24th April 1979y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 16.
- 25th April 1979A cuboid measures 6 cm by 12 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th April 1979A bag holds 3 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th April 1979On 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?
- 28th April 1979A car covers 110 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 29th April 1979A quadratic sequence starts 5, 6, 9, 14. Work out the second difference, and the coefficient of n^2.
- 30th April 1979A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.