Daily Practice · Higher Plus
February 1964 5-a-day
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The batch download puts all 5 tiers' February 1964 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1964In a vector proof you find that vector PQ = a + 6b and vector RS = 2a + 12b. What does this show about PQ and RS?
- 2nd February 1964A bag holds 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
- 3rd February 1964A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 4th February 1964Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
- 5th February 1964Solve 6x^2 + 11x + 3 = 0.
- 6th February 1964y is inversely proportional to x^2. When x = 2, y = 16. Work out y when x = 4.
- 7th February 1964A cuboid measures 9 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 8th February 1964A bag holds 5 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 9th February 1964On 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?
- 10th February 1964A block has mass 480 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.
- 11th February 1964f(x) = 7x - 6. Work out the inverse function f^-1(x).
- 12th February 1964y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 13th February 1964A cuboid measures 8 cm by 5 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 14th February 1964A bag holds 6 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 15th February 1964A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 16th February 1964x = 80 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
- 17th February 1964Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 18th February 1964y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 49.
- 19th February 1964The 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.
- 20th February 1964A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 21st February 1964On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd February 1964A car covers 130 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 23rd February 1964Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 3. Work out x(1) to 3 decimal places.
- 24th February 1964A train slows steadily from 34 m/s to rest in 8 seconds. Work out its deceleration.
- 25th February 1964In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 26th February 1964The probability of winning a game is 5/8. A player expects 35 wins. How many games did they play?
- 27th February 1964A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
- 28th February 1964Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 29th February 1964Work out the nth term of the quadratic sequence 17, 34, 59, 92, ...