Daily Practice · Higher Plus
March 1960 5-a-day
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The batch download puts all 5 tiers' March 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1960On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2nd March 1960A rectangle is 6 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd March 1960Write 6/(x - 2) + 4/(x - 3) as a single fraction.
- 4th March 1960y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 5th March 1960A cuboid measures 8 cm by 4 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 6th March 1960A bag holds 3 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 7th March 1960A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
- 8th March 1960Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
- 9th March 1960Solve 16x^2 - 8x - 15 = 0.
- 10th March 1960y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 64.
- 11th March 1960The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 12th March 1960A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.
- 13th March 1960On 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?
- 14th March 1960A block has mass 300 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th March 1960f(x) = 8x + 1. Work out the inverse function f^-1(x).
- 16th March 1960A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.
- 17th March 1960In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 18th March 1960The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?
- 19th March 1960A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
- 20th March 1960x = 82 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st March 1960Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
- 22nd March 1960y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 23rd March 1960In a vector proof you find that vector PQ = 6a - 4b and vector RS = 24a - 16b. What does this show about PQ and RS?
- 24th March 1960A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 25th March 1960On 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?
- 26th March 1960A car covers 770 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 27th March 1960Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 28th March 1960y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
- 29th March 1960A cuboid measures 12 cm by 15 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 30th March 1960A 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?
- 31st March 1960A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?