Daily Practice · Higher Plus
February 1960 5-a-day
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The batch download puts all 5 tiers' February 1960 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1960A block has mass 860 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2nd February 1960Write x^2 + 14x - 5 in the form (x + a)^2 + b.
- 3rd February 1960y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 4th February 1960A cuboid measures 13 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 5th February 1960A bag holds 3 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 6th February 1960On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 7th February 1960x = 101 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
- 8th February 1960Work out the coordinates of the turning point of y = x^2 + 2x - 2.
- 9th February 1960y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 10th February 1960The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 11th February 1960A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 12th February 1960A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
- 13th February 1960A car covers 700 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.
- 14th February 1960Simplify (x^2 - 11x + 24)/(x - 8).
- 15th February 1960y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 49.
- 16th February 1960In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 17th February 1960The probability of winning a game is 2/5. A player expects 16 wins. How many games did they play?
- 18th February 1960On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 19th February 1960Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
- 20th February 1960In an algebraic proof, how would you write an even number in terms of an integer n?
- 21st February 1960A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.
- 22nd February 1960In a vector proof you find that vector PQ = a + 2b and vector RS = 2a + 4b. What does this show about PQ and RS?
- 23rd February 1960A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
- 24th February 1960A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
- 25th February 1960Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
- 26th February 1960Make x the subject of 2x + 8 = y(x + 8).
- 27th February 1960y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 28th February 1960A cuboid measures 4 cm by 14 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 29th February 1960A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?