Primary Scottish Christmas Activities – Primary Maths worksheet from Heinemann Active Maths

AT 2.1 Exploring number sequencesContinue each sequence for five more steps.115240 651530 45311422 33144 132 120516632 4881522738832 26172227Find the smallest positive number that could have started each sequence.9. Difference is 1 5.2, 1 7, 3 2, … 9 ..., 32, 47, 62, 77, ... 10 ..., 17, 22, 27, ... 11 ..., 22, 28, 34, ... 12 ..., 19, 25, 31, ... 13 ..., 23, 27, 31, ... 14 ..., 38, 43, 48, ... 15 ..., 29, 32, 35, ... 16 ..., 31, 34, 37, ...In which of the following sequences does the number 272 occur: counting on in 17s from 0 or in 18s from 0? Write two more sequences starting at 0 that contain the number 272.I can describe the rule of a pattern which goes up or down in equal steps4From Heinemann Active Maths Second Level Exploring Number Pupil Book 3www.heinemannactivemaths.co.ukM01_HAM2_PUB_L03GBR_3674_U01.indd 414/10/10 15:27:53AT 2.1 Number sequencesFind the difference between the numbers in each sequence. Write the missing numbers, and the next five numbers in each sequence.1 100, 89, 78, , 56, ... 2 4 , 1, 3 , ... 2333 5 , , 1, , 6 , , 7, ... 1 4 3.3, , , 3.6, ...22 51 1 ,3 , 3 , , 4 , ... 3 6 4.2, , , 7.8, ...4447 4 , 2, , 5 , ... 2 8 3.05, , , 3.08, ...33Invent two missing number sequences, one using fractions, the other using decimals.These number sequences have been made by adding on 2-digit numbers. The unit digits are the only numbers still showing. What could the step size be in each sequence?9. Step size 2 5.1 6, 4 1, 6 6, 9 1, …9 6, 1, 6, 1, ... 10 3, 7, 1, 5, 9, 3, 7, 1, ...11 8, 8, 8, 8, ... 12 9, 5, 1, 7, 3, 9, 5, ...There is more than one answer for these questions. Write 2 more possible step sizes for each sequence.I can describe the rule of a number sequence which goes up or down in 7equal stepsFrom Heinemann Active Maths Second Level Exploring Number Pupil Book 3www.heinemannactivemaths.co.ukM01_HAM2_PUB_L03GBR_3674_U01.indd 714/10/10 15:28:01