* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Y7 Number Work – General Questions Negative Numbers: Adding a
Survey
Document related concepts
Foundations of mathematics wikipedia , lookup
Law of large numbers wikipedia , lookup
Ethnomathematics wikipedia , lookup
Positional notation wikipedia , lookup
Infinitesimal wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Location arithmetic wikipedia , lookup
Bernoulli number wikipedia , lookup
Surreal number wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
Transcript
Y7 Number Work – General Questions Negative Numbers: Adding a positive number to a negative number: 1. (a) -5 + 2 (b) -12 + 8 (c) -2.5 + 1.5 (d) -20 + 12 (c) -15 + ? = -9 (d) -7 + ? = - 4.5 2. Find the missing numbers: (a) -4 + ? = -1 (b) -12 + ? = 4 Negative Numbers: Subtracting positive numbers: 3. (a) 16 – 25 (b) -6 – 12 (c) -8 – 5 (d) -3 – 5.5 4. Find the missing numbers: (a) 6 - ? = -3 (b) -5 - ? = -9 (c) -3 - ? = -12 (d) -3.5 - ? = -5 (e) ? - 4 = -9 (f) ? – 6 = -8 (g) ? – 12 = -3 (h) ? – 4.5 = -2 Factors and Multiples 5. Write down all the factors of the following numbers: (a) 12 (b) 25 (c) 32 (d) What is the highest common factor (HCF) of 12 and 32? 6. Here is a collection of numbers: 1, 2, 3, 5, 6, 8, 12, 15, 24, 25, 28, 32, 33, 37, 42, 45, 49 (a) List the numbers that are multiples of 4. (b) List the numbers that are square numbers (c) List the numbers that have a factor of 5 (d) Lis the numbers that are prime (e) List the numbers that are multiples of 7 (f) List the numbers that have a factor of 3 and a factor of 5. 7. Use a factor tree to write 110 as a product of prime factors. 8. Use a factor tree to write 265 as a product of prime factors. 9. Draw the Prime Factor sharing diagram (“Venn” diagram) and use it to find the HCF and LCM of 110 and 265. Indices: 10. Write the following as a single power of 3: (a) 35 37 (b) 34 32 36 (c) 37 3 (d) (34 ) 2 11. Find the missing index: (a) 34 3 310 (b) 12 12 7 1215 Negative Numbers: 12. Adding negative numbers: (a) 3 + -6 (b) 7 + -12 (c) -4 + -9 (d) -2.5 + -4.5 13. Adding negative numbers: find the missing number: (a) 7 + ? = 2 (b) -5 + ? = -8 (c) -9 + ? = -7 (d) 4 + ? = -4 (e) ? + -2 = 5 (f) ? + -7 = -3 (g) ? + -12 = -16 (h) ? + -2.5 = -1 Long Multiplication 14. Use grid methods to calculate the following: (a) 14 76 (b) 124 48 (c) 104 63 15. Find the missing numbers in these incomplete grids: (a) (b) 20 80 40 24 Answer = 884 7 Answer = 4387 16. find the answers to these long division questions: remember to set your working out down clearly. (a) 4464 36 (b) 118128 46 (c) 10773 19 (d) 86508 27