Daily Practice · Higher Plus
February 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1963 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1963The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?
- 2nd February 1963On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 3rd February 1963x = 101 and y = 84, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th February 1963f(x) = 3x - 2 and g(x) = 3x - 2. Work out fg(1).
- 5th February 1963A train slows steadily from 35 m/s to rest in 8 seconds. Work out its deceleration.
- 6th February 1963In a vector proof you find that vector PQ = 6a - 6b and vector RS = 24a - 24b. What does this show about PQ and RS?
- 7th February 1963A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 8th February 1963A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 9th February 1963A car covers 430 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 10th February 1963The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 11th February 1963y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
- 12th February 1963A cuboid measures 15 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th February 1963A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th February 1963On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 15th February 1963Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
- 16th February 1963A quadratic sequence starts 6, 20, 40, 66. Work out the second difference, and the coefficient of n^2.
- 17th February 1963y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
- 18th February 1963A cuboid measures 9 cm by 9 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th February 1963A bag holds 5 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th February 1963A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
- 21st February 1963Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).
- 22nd February 1963Solve x^2 - 4x + 3 > 0.
- 23rd February 1963y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 16.
- 24th February 1963The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 25th February 1963A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
- 26th February 1963On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 27th February 1963A rectangle is 18 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th February 1963Write x^2 + 16x - 9 in the form (x + a)^2 + b.