# Analysis of Calculation from the Y6 SATs, 2002 Paper A (no calculator) - DOC by alextt

VIEWS: 8 PAGES: 2

• pg 1
```									     Analysis of questions involving calculation from the Y4 optional QCA test A

Ques    Framework objective                Objective   Calculations required   Possible strategies &
tion
(Key Objectives in bold)           from Yr     A-abstract              knowledge/skills
grp         C-contextual
Understand the operation of
multiplication and the
2        A True or false?
8x2=8+8
Understand multiplication as repeated
2      associated vocabulary                          3 x 10 = 3 + 3 + 3
5x4=5+5+5+5
Use known number facts and
place value to add a pair of
4        A Sequence (add 100)    Add 100 to any 3 digit number crossing
100
4
numbers mentally                               946 + 100

Develop pencil and paper
3        A                       Use a vertical (expanded vertically or
horizontally) method for addition.
6                                                     127 + 57                Or use empty number line, 127 + 50;
177 + 7 (possibly + 3, + 4)

Count on in tens and relate to
3        A
Number line image for
Use illustrated empty number line.

8                                                     addition                43 + 30 = 73
43 + 30
Use all four operations to solve
word problems in ‘real life’,
3        C word problem, money
Understand ‘how much
Use complementary addition and empty
number line.
9
using money or measures.                       more’                   £9.10 + 90p; £10.00 + £1.50 = £11.50
£11.50 - £9.10          Add hops.

11
Use all four operations to solve
word problems in ‘real life’,
2        C word problem          Know there are 12 months in a year.
Double 12 (known fact)
using money or measures.                       12 x 2
Say or write a division
statement corresponding to
3        A
6 x 10 = 60
Understand ‘number triples’ or ‘buy one
get three free’.
13
a given multiplication                         Write corresponding     Use arrays as an image to develop this.
statement                                      division calculation
Find a difference by counting up
from the smaller to the larger
4        A                       Use compensation, subtract 90 and add 1.
Use empty number line to illustrate
17
number, partitioning & bridging                123 – 89                compensation. Or subtract 80, then 9 on
through multiples of ten                                               empty number line.
Develop pencil and paper
4        A
Choose two from these
Use a vertical (expanded vertically or
horizontally) method for addition.
19                                                     numbers to add
together:
246    367     458
Use all four operations to solve
word problems in ‘real life’,
4        C word problem, money   Use grid multiplication.
x 30        5
22      using money or measures.                       35p x 7                     7 210 35
answer in £             or partition; 30 x 7 = 210, 5 x 7 = 35
Solve mathematical problems.
Derive pairs of numbers that
4        A                       Reorder components of equation:
100 + 60 + 7 + ? = 200
27
total a multiple of 100                        1?7 + 6? = 200          use complement to 100

Understand the idea of a
remainder
4        A                       Count up in 8s to 48 (use empty number
line), count on to 53 for remainder
29
53 ÷ 8 (what is
remainder)
Use halving and related facts.        4        A                       Use known fact 25 x 4 = 100 and adjust
Or
31
? x 4 = 96              Use inverse; 96 ÷ 4, halve and halve
again
Analysis of questions involving calculation from the Y4 optional QCA test B

Ques    Framework objective                 Objective   Calculations required        Possible strategies &
tion
(Key Objectives in bold)            from Yr     A-abstract                   knowledge/skills
grp         C-contextual
Develop pencil and paper
4        A
Choose two from these
Use a vertical (expanded vertically or
horizontally) method for addition.
1                                                      numbers to add together:
246    367    458
Use all four operations to solve
word problems in ‘real life’,
4        C word problem, money        Use grid multiplication.
x 30        5
5      using money or measures.                        35p x 7                          7 210 35
answer in £                  or partition; 30 x 7 = 210, 5 x 7 = 35
Solve problems. Derive pairs of
numbers that total a multiple of
4        A                            Reorder components of equation:
100 + 60 + 7 + ? = 200
10
100                                             1?7 + 6? = 200               use complement to 100

Understand the idea of a
remainder
4        A                            Count up in 8s to 48 (use empty number
line), count on to 53 for remainder
12
53 ÷ 8 (what is
remainder)
Use known number facts and
place value to multiply or divide
5        A                            Understand place value, understand
multiplication is the inverse of division.
15
mentally                                        3400 ÷ ? = 100
? x 100 = 3400
Develop pencil and paper
4        A                            Use a vertical (expanded vertically or
horizontally) method for addition.
17
846 + 478

Develop and refine written
methods for multiplication
5        A                            Use grid multiplication.
x 400 50 3
20                                                      453 x 8                           8 3200 400 24
or partition; 400 x 8, 50 x 8, 3 x 8.
Or double, double, double again.
Use all four operations to solve
word problems in ‘real life’,
5        C word problem, length       Recognise relationship with 25 and 75.
Partition 75 into 25 & 50, subtract 25cm
21      using money or measures.                        2.25m – 75cm                 then 50 cm from 2.25m. Use empty
number line. Or use complementary
Use all four operations to solve
word problems in ‘real life’,
4        C word problem, money        Use trial and improvement or listing to
find multiples of 20p and multiples of
23
using money or measures.                        (? x 20p) + (? x 50p) = £7   50p to total £7

Subtract a pair of decimal
fractions including crossing the
5        A                            Use empty number line and