Daily Practice · Higher
March 1999 - Higher 5-a-day
Every Higher sheet published in March 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1999A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd March 1999Work out 100^(3/2).
- 3rd March 1999Expand and simplify (x - 2)(x + 1)(x + 5).
- 4th March 1999A town's population is 14000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 5th March 1999A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 6th March 199912 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 1999A box plot has a minimum of 10 and a maximum of 39. Work out the range.
- 8th March 1999Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 9th March 1999Make x the subject of y = 5x^2 - 3.
- 10th March 1999A block has volume 80 cm^3 and density 8 g/cm^3. Work out its mass.
- 11th March 1999In triangle ABC, angle A is 30°, angle B is 38° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th March 19997 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 1999A box plot has minimum 13, lower quartile 20, median 25, upper quartile 29 and maximum 36. Work out the interquartile range.
- 14th March 1999A meal deal has 4 mains, 3 sides and 5 drinks. How many different meals are possible?
- 15th March 1999Factorise x^2 - 100.
- 16th March 1999x : y = 5 : 6. Write y in terms of x.
- 17th March 1999A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 18th March 199928 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 1999A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 20th March 1999A mass is 14.6 kg, correct to 1 decimal place. Write down the upper bound.
- 21st March 1999A region is defined by y < 3x - 2. Should the boundary line be solid or dashed, and why?
- 22nd March 1999A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd March 1999The point (-3, -2) is enlarged by scale factor -2 about the centre (1, -4). Write down the coordinates of the image.
- 24th March 19992 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 1999A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 26th March 1999Write 7^-1 as a fraction.
- 27th March 1999Factorise x^2 - 1.
- 28th March 1999y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 6.
- 29th March 1999Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 702 cm^3. Work out the volume of the smaller.
- 30th March 199911 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 1999Four classes in order have frequencies 10, 5, 3, 5. Write down the cumulative frequency at the end of the third class.