Number System
In 6.352, what is the value of the digit 5?
0.05
What is the next number? −8, −5, −2, 1, ___
4
A rectangle is 8 cm × 5 cm. What is its area?
40 cm²
Calculate: −7 + 12
5
Which is larger: 0.6 or 55%?
0.6
What is 725 ÷ 1000?
0.725
Which of these are cube numbers? 8, 12, 27, 36, 64, 81, 100, 125
8, 27, 64, 125
A rectangle measures 12 m × 7 m. A diagonal divides it into two equal right-angled triangles. What is the area of one triangle?
42 m²
If a = −6 and b = 11, find a + b.
5
Simplify 12/18 to its simplest form.
2/3
A number is 7.35. Multiply it by 100, then divide the answer by 1,000. What is the final answer?
0.735
Find all factors of 32.
1, 2, 4, 8, 16, and 32
Convert 3 hours 45 minutes into decimal hours.
3.75 hours
Calculate: −37 − (−18) + 12
-7
Find 25% of 80.
20
A number has 4 hundreds, 7 ones, 3 tenths, 8 hundredths, and 6 thousandths. Write the number. Then round it to the nearest tenth.
407.386 → 407.4
The sequence is 7, 11, 15, 19, .... What is the position-to-term rule?
4n + 3
A right-angled triangle has an area of 54 cm² and a base of 12 cm. What is its height?
9 cm
The temperature is −4°C. It rises by 13°C, then falls by 9°C. What is the final temperature?
0°C
4/5, 0.62, 63%, 0.6. Put all four in order from smallest to largest.
0.6 < 0.62 < 63% < 4/5
Find the number that fits all three clues: (1) It has 6 as its tenths digit. (2) Its hundredths digit is twice its thousandths digit. (3) When rounded to the nearest tenth, it becomes 5.7. Give one possible answer.
5.684
or
5.663
A sequence has the rule n² + 2. What are the 10th terms?
102
A rectangular garden is 18 m × 10 m. A diagonal divides it into two right-angled triangles. If each square metre costs $10 to cover, what is the total cost for one right-angled triangle?
180 : 2 = 90 m2
90 x 10 = $900
m x n = 2400
m + n + n = 140
Find n and m.
m = 60
n = 40
A class has 40 students. 35% are wearing glasses. How many students are wearing glasses?
35/100 x 40 = 14