Mental Math Workouts name:……………………

Mental Math Workouts - Set 1
1. 5 2/3 = 5
2.
13.
/6
(a)
(b)
(c)
Which line is 1/3 the length of the top line?
÷ 4 = 3r2
3. 10 x
/
name:……………………
= 1
14. Label its dimensions after you draw
a square the same area as this
rectangle on the back of this sheet.
4. Complete the series below.
2, 7, 4, 14, 6, 21,
,
6 Months’ Rainfall
15.
5. 3 x
x
x
50
= 6
6. 2/5 +
/
+
/
+
/
Rainfall (mm)
Use whole numbers.
= 1
7. Twin primes have one composite number between
them. Write 2 pairs of twin primes.
,
and
8. 7/20 =
10. 48
(a)
(b)
(c)
3
6
5
6
7
F
M
A
Month
M
J
16. A trapezoid has one pair of
parallel sides. Draw 3 lines and
divide this octagon into 2 trapezoids
and 2 right-angled triangles.
A
17. Base angles of an isosceles
triangle are congruent.
(48 x 2) + (48 x 3)
(40 x 20) + (4 x 3)
(48 x 20) + (48 x 3)
Angle ABC =
30°
°
C
B
18.
C
AREA
36 m2
Perimeter of this
meters.
square =
19. Draw the next shape in this series.
?
B
Estimated degrees in angle ABC =
Page 10
10
x 23 is the same as:
11.
12.
20
J
9. Shade 2 numbers which are consecutive numbers
and also primes.
7
The average
monthly
rainfall is
mm.
30
0
,
% = 0.
2
40
A
°.
This teacup holds
approximately:
(a) one liter (b) 1/4 liter
(c) 20 mL (d) 2 liters
20.
Mental Math Workouts
The radius of this circle
is
cm or
mm.
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Mental Math Workouts - Set 2
/
13.
= 4
2. 2.763 = 2 + 0.
+ 0.
7/
10
3.
+
Part-time Worker
6
Hours Worked
1. 2 x 4 x
name:……………………
+ 0.
6/
100
+
3/
1,000
=
5
4
The average
hours worked
per day =
3
2
1
.
0
M
4. Write down the factors of 20 in the boxes. Then
shade the factors which are also multiples of 2.
5. The set of composite numbers less than 15 are:
W
T
Day
F
S
The area of the shaded
part =
cm2.
12 cm
14.
T
12 cm
15. Highlight the circumference of the
concentric circle which has a
diameter of 2 cm.
6. Express 5 x 5 x 5 x 5 x 9 in index notation:
16. Is this shape traversable?
7. How many minutes
from 11:30 a.m. to 1320?
17.
8. These are the 3 arrays for 4.
How many arrays can be
drawn for the number 6?
9. Without working out the sums, the difference
between (20 x 15) and (15 x 19) is:
(a) 20
(b) 19
(c) 15
(d) 10
10. 2,009,012 is written:
(a) two million and nine thousand and twelve.
(b) two million nine thousand twelve.
(c) two million nine thousand and twelve.
B
C
4
3
2
1
1
19.
A
11.
18. Circle the
coordinate
reading 4, 2
on the grid.
Circumference = π x diameter
π = 3.14
If you needed string to go round
this circle twice, how much
string would you need?
cm
The angles of an
equilateral ∆ are
congruent.
Therefore,
∠ABC =
°.
P
2
3
4
5
6
Complete this
diagram by drawing in
a 3-cm diagonal and
a line from point P to
form an isosceles ∆.
20. Shade the 2 shapes with the same perimeters.
12.
Circle the 2 similar shapes above.
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Mental Math Workouts
Page 11
Mental Math Workouts - Set 1 Review
1. 61/4 = 6
/12
3. 20 x
= 5/5
2.
14. Label its dimensions after you draw a square the
same area as this rectangle on the back of this
sheet.
4 mm
16 mm
÷5=4r3
4. Complete the series below:
3, 3, 4, 6, 9,13,
name:……………………
15. 14
,
Sunshine from 2/9/94 - 8/9/94
12
x
6. 5/8 +
x
+
10
=6
+
Hours
5. 6 x
8
hours.
6
4
=1
2
7. Twin primes have one composite number between
them (e.g. 5, 7). Write the one pair of twin primes
between the numbers 20 and 40.
0
S
16.
6
7
W
Days
F
S
Angle XYZ =
°.
12. An average bucket would hold about:
(a) 10 mL
(b) 1 kL
(c) 10 L
(d) 500 mL
°
Two-thirds of the diameter of
this circle is
cm or
18.
? Y
T
The base angles of an
isosceles triangle are
congruent.
Y
Z
36 x 14 is the same as:
(a) (36 x 1) + (36 x 4)
(b) (36 x 10) + (36 x 4)
(c) (30 x 10) + (6 x 4)
X
Z
17.
9 10 11 12
11. Estimated degrees in
angle ZYX =
T
40°
9. Shade 2 numbers which are consecutive and also
composite numbers.
5
M
X
% = 0.
8. 3/25 =
10.
Average daily
sunshine for
this period is
AREA
64 m2
mm.
Perimeter of this square =
m
19. Complete the next shape below.
20. A trapezoid has one pair of parallel sides. Draw 2
lines and divide this hexagon into one trapezoid
and 2 triangles.
13.
(a)
(b)
(c)
(d)
Page 22
Which line is 25% of
the top line?
Ruler needed.
Mental Math Workouts
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Mental Math Workouts - Set 2 Review
1. 12 x 2 x
13. Circle the 2 similar shapes below.
=6
2. 3.547 = 3 + 0.
5/
+ 0.
+ 0.
4/
10
100
7/
1,000
14.
+
3.
name:……………………
+
2 cm 2 cm 2 cm
Total area of shaded
1 cm
1 cm
=
4. Write down the factors of 24 in the boxes.
Then shade the multiples of 3.
15. Highlight the circumference
of the concentric circle which
has a diameter of 11/2 cm.
5. The set of prime numbers < 20 =
16.
.
Is this shape traversable?
7. How many minutes
from 10.15 a.m. to
1415?
6. Express 3 x 3 x 3 x 8
in index notation.
17.
ius 5
Rad
8.
These are the three
arrays for 4. How many
arrays can be drawn for
each prime number?
9. The difference between (30 x 14) and (15 x 30) is:
(a) 15 (b) 30
(c) 14
(d) 60
10. 4,012,008 is written:
(a) four million twelve thousand eight hundred.
(b) four hundred and twelve million and eight.
(c) four million twelve thousand eight.
A
95°
11.
Angle ACB =
Group
12.
Roy
Rob
Eva
Tim
°.
C
Children's Heights
60
19.
3
2
1
B
C
D
E
F
Draw 2 lines inside this
shape to form a rectangle, a
trapezoid and an irregular
quadrilateral.
20. Use a ruler to measure the shapes and shade
the two shapes with congruent areas.
A
D
B
cm.
C
100
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4
A
The average height of
children in this group
is
20
cm
Circumference = 3 π x diameter.
π = 3.14
How far would an ant walk if it
went 3 times round the perimeter
of this dish?
cm
18. Join the coordinate
ordered pairs A2,
B4 and E1 and
name the shape
you have drawn.
The angles of a scalene ∆
are all different, therefore :
B 50°
cm2.
parts =
Mental Math Workouts
Page 23