45 Second Questions
Basic Math
Problems
Algebra
???
100
(3.2 + 6.5) ÷ √85
Put it to 2 decimal places.
Calc
1.05
100
Write 264 as a product of prime factors.
2×2×2×3×11
100
Two trains leave Milan station at 5:00 a.m. The train heading to Venice leaves the station every 45 minutes, while the other heading to Bologna leaves the station every 60 minutes. At what time will they next leave Milan train station together again?
8:00am
100
Solve
7𝑎−3=3+6𝑎
a=6
100
A can of tuna weighs 220 g and costs 80 cents.
How many grams do you get for 1 cent in the can?
Calc
2.75 grams
200
>180*
200
What is the HCF of 32 and 48?
16
200
At a University, two sevenths of the students are female and three fifths of these females are part-time students. There are 2100 students altogether.
How many students are female?
600
200
Factorise 11x2 + 33y
11(x2 + 3y)
200
Work out the value of 0.125 × 3. Write your answer correct to two significant figures of
0.375
300
12 is the least common multiple of:
(A) 24, 36 (B) 4, 6 (C) 2, 8 (D) 12, 16
(B) 4, 6
300
130 cm is cut from a 520 cm piece of cloth. What percentage is cut?
25%
300
Alice has €120. She divides it among her three children Bernice, Charlotte and Dave in the ratio 7 : 8 : 9 respectively. How much does Bernice receive?
35 Euro
300
Solve the equation:
3𝑥 + 11 = 2(1+3𝑥)
3 = x
300
If 4 × 9 × 11 × 13 = 5148, what is the value of 18 × 11 × 13?
2574
400
Express 135 as a percentage of 900.
15%
400
Calculate the gradient of the line passing through the points (−1, 6) and (4, −4).
Calc
-2
400
Greta buys electrical appliances for her kitchen. A set of appliances costs €2480. VAT at 18% is added to the cost. A technician installs all the appliances at a fixed fee of €20 plus a charge of €30 per hour. The technician takes 2.5 hours to install the appliances. How much does Greta pay in all for her kitchen appliances and installation?
Calc
€3021.40
400
Expand: 2𝑥(3𝑥−4𝑦)
6x2-8xy
400
Fiona invested a sum of €18 000 in a bank. She invested this sum of money for 4 years and earned €2700 in simple interest. Calculate the interest rate per annum?
Formula Given is I= PRT/100
Calc
3.75%
500
What is 30% of 2700 g?
810 grams
500
The 𝑛th term of a sequence is given by 3𝑛 + 7.
Show that 187 is a term in this sequence.
Calc
187=3𝑛+7
𝑛=60
500
A tuna can has a radius of 4.5 cm and it is 3.7 cm high. Calculate the area of the paper label covering the curved surface of the tuna can if there is an overlap of 1 cm.
Calc
108.3cm2 to 1 d.p
500
Expand and simplify: 3𝑥(4𝑥+𝑦)+𝑦(𝑥+𝑦)
12𝑥2 +4𝑥𝑦+𝑦2
500
A tank in the shape of a cuboid measuring 0.6 m by 1.1 m by 2.2 m is full of water. All the water in the tank is emptied into a cylindrical tank filling it to a depth of 1.5 m. Calculate the radius of the cylindrical tank, correct to two significant figures.
Calc
r = 0.56 m