Daily Practice · Higher Plus
April 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1966Work out the coordinates of the turning point of y = x^2 - 6x - 6.
- 2nd April 1966A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
- 3rd April 1966A cuboid measures 8 cm by 13 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4th April 1966A bag holds 5 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5th April 1966A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
- 6th April 1966A rectangle is 19 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 7th April 1966Simplify (x^2 - x - 6)/(x + 2).
- 8th April 1966y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 9th April 1966The 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.
- 10th April 1966A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
- 11th April 1966On 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?
- 12th April 1966Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 13th April 1966In an algebraic proof, how would you write a multiple of 4 in terms of an integer n?
- 14th April 1966y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 15th April 1966In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 16th April 1966The probability of winning a game is 4/5. A player expects 40 wins. How many games did they play?
- 17th April 1966A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 18th April 1966A block has mass 900 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 19th April 1966Make x the subject of 7x + 2 = y(x + 2).
- 20th April 1966y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 9.
- 21st April 1966In a vector proof you find that vector PQ = a - 4b and vector RS = 3a - 12b. What does this show about PQ and RS?
- 22nd April 1966A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 23rd April 1966On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 24th April 1966x = 166 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
- 25th April 1966Write 2/(x + 2) + 6/(x - 5) as a single fraction.
- 26th April 1966A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
- 27th April 1966A cuboid measures 3 cm by 13 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 28th April 1966A bag holds 7 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 29th April 1966A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 30th April 1966A car covers 560 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.