Daily Practice · Higher Plus
February 1968 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1968 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1968Simplify sqrt(8) + sqrt(72), giving your answer in the form a sqrt(b).
- 2nd February 1968The point (-6, 5) lies on y = f(x). Write down its image on y = f(x + 1).
- 3rd February 1968A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.
- 4th February 1968In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 5th February 1968The probability of winning a game is 4/5. A player expects 88 wins. How many games did they play?
- 6th February 1968A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
- 7th February 1968A rectangle is 18 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th February 1968Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 9th February 1968y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
- 10th February 1968In a vector proof you find that vector PQ = 5a - b and vector RS = 10a - 2b. What does this show about PQ and RS?
- 11th February 1968A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 12th February 1968On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 13th February 1968Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 14th February 1968f(x) = 3x + 2 and g(x) = 6x + 2. Work out fg(3).
- 15th February 1968y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 16th February 1968A cuboid measures 14 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 17th February 1968A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 18th February 1968A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 19th February 1968A block has mass 290 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 20th February 1968The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 21st February 1968y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 36.
- 22nd February 1968A cuboid measures 6 cm by 11 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 23rd February 1968A bag holds 7 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 24th February 1968On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 25th February 1968x = 143 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th February 1968A quadratic sequence starts -5, -6, -5, -2. Work out the second difference, and the coefficient of n^2.
- 27th February 1968A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
- 28th February 1968The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 29th February 1968A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.