Download Y7 Number Work – General Questions Negative Numbers: Adding a

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