Daily Practice · Higher Plus
April 2002 - Higher Plus 5-a-day
Every Higher Plus sheet published in April 2002, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' April 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2002A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
- 2nd April 2002On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 3rd April 2002A rectangle is 23 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4th April 2002Write x^2 - 16x - 6 in the form (x + a)^2 + b.
- 5th April 2002A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.
- 6th April 2002In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 7th April 2002The probability of winning a game is 1/4. A player expects 13 wins. How many games did they play?
- 8th April 2002A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3. How many values in total?
- 9th April 2002Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
- 10th April 2002Work out the coordinates of the turning point of y = x^2 + 4x + 5.
- 11th April 2002y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 12th April 2002In a vector proof you find that vector PQ = a - 6b and vector RS = 2a - 12b. What does this show about PQ and RS?
- 13th April 2002A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
- 14th April 2002On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 15th April 2002A block has mass 740 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 16th April 2002Simplify (x^2 - 2x - 35)/(x - 7).
- 17th April 2002y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 18th April 2002A cuboid measures 14 cm by 5 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th April 2002A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th April 2002A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
- 21st April 2002x = 179 and y = 73, each correct to the nearest whole number. Work out the upper bound of x - y.
- 22nd April 2002In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 23rd April 2002y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 9.
- 24th April 2002A cuboid measures 7 cm by 9 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th April 2002A bag holds 6 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th April 2002On 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?
- 27th April 2002A car covers 100 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 28th April 2002Make x the subject of 6x + 4 = y(x + 4).
- 29th April 2002A train slows steadily from 23 m/s to rest in 8 seconds. Work out its deceleration.
- 30th April 2002The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.