Student Name
Class / Section
Grade / Year
Teacher
School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
In the number 623541, determine the place values of the digits 6 and 5. Compute the difference between these place values and then multiply the result by 2. Show your working.
(3 pts)
2.
Using the digits 6, 0, 8, 4, and 1 exactly once, form the greatest possible number. Next, form the smallest possible number (ensuring the number does not begin with 0). Finally, subtract the smaller number from the greater one. Show your working.
(3 pts)
3.
From the digits 3, 4, 9, and 0, determine how many unique 4-digit numbers can be formed without repetition. Then identify how many of these numbers are even. Finally, add these two results together. Show your working.
(3 pts)
4.
Two petrol tanks contain 6325 ℓ and 4890 ℓ respectively. First, compute the difference between these two volumes and round this difference to the nearest hundred. Then, calculate the percentage this rounded difference represents of the smaller tank’s volume. Show your working.
(3 pts)
5.
Estimate the product 958 × 387 by rounding each factor to the nearest hundred. Then, subtract 100 from the estimated product. Show your working.
(3 pts)
6.
Estimate the quotient 2838 ÷ 125 by rounding both the dividend and the divisor to the nearest hundred. Then, add 5 to the estimated quotient. Show your working.
(3 pts)
7.
A school management spends $26,756 on teachers' pay, $325,378 on building construction, $5,780 on games, and $8,235 on other work. Calculate the total expenditure and then find by how much this total exceeds $360,000. Show your working.
(3 pts)
8.
Madhu had $9031 and after buying a TV she was left with $1356. Determine the price of the TV and then subtract 100 from this price. Show your working.
(3 pts)
9.
The population of a country was 906450600 in 1990 and increased by 9889700 in 1991. Compute the population in 1991 and then determine 1% of that population. Show your working.
(3 pts)
10.
From a set of numbers, compute the sum for two groups: (a) 1086, 2117, 3543, and 1284; (b) 2637, 1283, 2549, and 98713. Then, subtract the sum of group (a) from group (b). Show your working.
(3 pts)
11.
Determine whether 48 and 28 are perfect numbers. Assign a value of 1 if a number is perfect and 0 if it is not, then add these two values. Show your working.
(3 pts)
12.
Identify all prime numbers between 30 and 50. Then multiply these primes together and determine the last two digits of the product. Show your working.
(3 pts)
13.
Using Roman numerals, solve the equation: LXX + x = LXXVI. First convert the numerals to decimals, solve for x, and then subtract 5 from the value of x. Show your working.
(3 pts)
14.
Given the equation LIX = y + IX in Roman numerals, convert to decimals and solve for y. Then multiply the resulting value of y by 3. Show your working.
(3 pts)
15.
Determine the sum of the predecessor of 97801 and 90526. Then calculate how much this sum falls short of 200000. Show your working.
(3 pts)
16.
Find the product of the successor of 147 and 389. Then divide the product by 7 and round down to the nearest whole number. Show your working.
(3 pts)
17.
Using the distributive property, compute 632 × 1001. Then, calculate 99 × 82 and subtract this product from the first result. Show your working.
(3 pts)
18.
Compute 1002 × 8716 using the distributive property. Then add 500 to the result. Show your working.
(3 pts)
19.
Simplify the expression: 34 - [32 - {31 - (18 - 15 - 1)}]. Then add 10 to your simplified result. Show your working.
(3 pts)
20.
Simplify the expression: [4 × {6 + (9 - 4 + 2)} + 5] and then subtract 3 from the result. Show your working.
(3 pts)
21.
The digit in the hundred-thousands place in 623541 is
.
(3 pts)
22.
When forming the greatest number from the digits 6, 0, 8, 4, and 1, the digit placed in the ten-thousands position is
.
(3 pts)
23.
In the set {3, 4, 9, 0}, when forming a 4-digit even number, the units digit must be
.
(3 pts)
24.
Rounding 6325 to the nearest hundred gives
.
(3 pts)
25.
Rounding 4890 to the nearest hundred gives
.
(3 pts)
26.
When estimating the product 958 × 387 by rounding, 958 rounds to
.
(3 pts)
27.
When estimating the product 958 × 387 by rounding, 387 rounds to
.
(3 pts)
28.
To estimate the quotient 2838 ÷ 125, if 2838 is rounded to the nearest hundred it becomes
.
(3 pts)
29.
To estimate the quotient 2838 ÷ 125, if 125 is rounded to the nearest hundred it becomes
.
(3 pts)
30.
The additive identity for whole numbers is
.
(3 pts)
31.
The sum of an odd number and an even number is always
.
(3 pts)
32.
The total expense for building construction and teachers' pay, amounting to $325378 and $26756 respectively, is
.
(3 pts)
33.
After spending on various school items, if the total expenditure is $366149, then it exceeds $360000 by
.
(3 pts)
34.
If Madhu had $9031 and is left with $1356 after buying a TV, then the price of the TV is
.
(3 pts)
35.
The population increased from 906450600 by
to become 916340300.
(3 pts)
36.
The sum of the numbers 1086, 2117, 3543, and 1284 is
.
(3 pts)
37.
The sum of the numbers 2637, 1283, 2549, and 98713 is
.
(3 pts)
38.
Among the prime numbers between 30 and 50, the smallest prime is
.
(3 pts)
39.
In Roman numerals, LXX represents
in decimal form.
(3 pts)
40.
Converting the Roman numeral LIX yields the decimal number
.
(3 pts)