Daily Practice · Higher Plus
February 1994 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1994 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1994A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
- 2nd February 1994A rectangle is 18 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd February 1994f(x) = 6x + 6 and g(x) = 4x + 4. Work out fg(5).
- 4th February 1994y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 16.
- 5th February 1994A cuboid measures 11 cm by 12 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 6th February 1994A bag holds 4 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 7th February 1994On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 8th February 1994Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
- 9th February 1994The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 10th February 1994A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
- 11th February 1994The 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.
- 12th February 1994A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 13th February 1994A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
- 14th February 1994A block has mass 630 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th February 1994A quadratic sequence starts -2, 2, 8, 16. Work out the second difference, and the coefficient of n^2.
- 16th February 1994y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 17th February 1994In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 18th February 1994The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
- 19th February 1994On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 20th February 1994x = 150 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st February 1994Solve x^2 - x < 0.
- 22nd February 1994y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 23rd February 1994In a vector proof you find that vector PQ = 6a + 4b and vector RS = 24a + 16b. What does this show about PQ and RS?
- 24th February 1994A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 25th February 1994A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 26th February 1994A car covers 500 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.
- 27th February 1994Write x^2 - 2x + 11 in the form (x + a)^2 + b.
- 28th February 1994y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 49.