ITMC 2018 Grade 3 National Preliminary set01 Next → Exam instructions: National Preliminary; 90 minutes (catalogue rule). Printed marking: Q1–12: correct 4 / blank 1 / incorrect 0; Q13–24: correct 6 / blank 1.5 / incorrect 0; Q25–29: correct 7 / blank 0 / incorrect 0; optional Q30: correct 20 / blank 0 / incorrect −7. Printed positive marks are preserved per question. The source uses different blank-answer and incorrect-answer rules by section, including an optional bonus penalty; the import does not reproduce that complete official scoring scheme.
2561 − 2018
2562 − 2019
2571 − 2008
2661 − 2118
2551 − 2008
Which group consists only of even numbers and has sum 100? The boxed groups are preserved below.
20, 42, 21, 22
42, 20, 22, 24
42, 20, 36, 17
18, 36, 20, 42
24, 18, 36, 22
If $9 \times \square=4608$, which product equals the number in the square?
$4\times64$
$8\times32$
$12\times32$
$12\times64$
$16\times32$
ABCD is a rectangle. E lies on AB and F lies on CD so that AEFD is a square. AE = 5 and EB = 4. What is the perimeter of BCFE?
16
18
20
24
25
The figure shows a square, a rectangle and a kite. Which option lists them in decreasing order of their numbers of lines of symmetry?
square, rectangle, kite
rectangle, kite, square
kite, rectangle, square
square, kite, rectangle
All three have the same number.
How many of the shapes in the figure are polygons with an even number of sides?
4
5
6
7
8
Suppose 5 August is a Sunday. In the same year, what day of the week is 5 September?
Monday
Tuesday
Wednesday
Thursday
Friday
A train leaves a station at 11:40 and takes 75 minutes to reach its destination. When does it arrive?
12:15
12:45
12:55
13:05
13:15
There are 10 teams in Brighton Football League. Each team must play exactly one match with another team. How many matches are there in the league?
10
40
20
45
50
The picture chart shows cows on farms A, B and C. Each cow picture represents 15 cows. Which statement is true?
Farm A has 3 cows.
Farm C has 20 cows.
Farm B has 10 cows.
Farm C has 15 more cows than farm B.
Farm A has the fewest cows.
The table lists pupils in grades 1 to 6: 139, 135, ?, 136, 138, 140, with a total of 826. How many pupils are in grade 3?
135
136
137
138
139
Mary draws one marble from a bag containing 2 white, 7 green, 1 blue, 4 yellow and 3 red marbles. Which colour is most likely?
green
yellow
red
blue
white
Let $N=9+99+999+9999+99999$. How many digits of N are 9?
0
1
2
3
4
Digits a, b, c from 0 to 9 satisfy $\overline{a23}+\overline{2b9}+\overline{31c}=1000$, where the barred expressions are three-digit numbers. Which statement is true?
b is 1 greater than a.
a + b + c = 18
a is 5 less than c.
b = 4 and c = 8
None of these.
Calculate $45\times19+23\times19+32\times19$.
1090
1900
2010
2100
2300
A large milk carton holds 2 litres 50 millilitres. Each glass holds 200 millilitres. How many glasses can be filled completely?
10
12
13
14
15
Three boxes of apples weigh 42 kg 400 g in total. The first weighs 14 kg 800 g, the second 13 kg 900 g, and the third x kg y g. Find $x+(y\div100)$.
20
21
22
24
25
A square is made of 16 equal small squares in a 4 by 4 grid. Remove 3 small squares to leave a polygon with as many sides as possible. How many sides can it have?
6
8
10
12
16
The figure shows a repeating pattern of shapes. What is the 29th shape?
kite
parallelogram
trapezium
rectangle
square
Each dot represents one candy. Divide the candies shown equally among three boxes, putting as many as possible in each. Which statement is true?
Exactly 20 candies per box.
20 candies per box and 2 left.
21 candies per box and 1 left.
21 candies per box and 2 left.
Exactly 21 candies per box.
Next → 
