Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

270

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

2 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

3 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

4 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

5 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

6 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

7 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

8 / 20

9 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

10 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

11 / 20

12 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

13 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

14 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

15 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

16 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

17 / 20

18 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

19 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

20 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Dawood	85 %	1 minutes 10 seconds
25	Arib	85 %	1 minutes 20 seconds
26	Hello 2	85 %	1 minutes 23 seconds
27	sadi	85 %	1 minutes 47 seconds
28	nelson	85 %	1 minutes 56 seconds
29	Mudasir bangash	85 %	2 minutes 20 seconds
30	Saeed	85 %	2 minutes 46 seconds
31	dawood	80 %	1 minutes
32	RIDWAN	80 %	1 minutes 13 seconds
33	N	80 %	1 minutes 39 seconds
34	Talha	80 %	1 minutes 49 seconds
35	Najeeb Ahmed	80 %	1 minutes 52 seconds
36	Saif	75 %	57 seconds
37	urwah	75 %	1 minutes 31 seconds
38	Hi	75 %	1 minutes 37 seconds
39	Ahmad	75 %	1 minutes 38 seconds
40	NOONE	75 %	1 minutes 40 seconds
41	rida	75 %	1 minutes 47 seconds
42	Nimra	75 %	1 minutes 54 seconds
43	Ahmad faiz khan	75 %	2 minutes 21 seconds
44	Muhammmad yahya	75 %	2 minutes 26 seconds
45	ma	75 %	2 minutes 47 seconds
46	JawD	75 %	2 minutes 54 seconds
47	Muhammad Awais	75 %	3 minutes 5 seconds
48	Yasir	75 %	6 minutes 16 seconds
49	raomohib	75 %	31 minutes 2 seconds
50	uzair	75 %	34 minutes 30 seconds
51	Hhh	70 %	1 minutes 37 seconds
52	amna	70 %	1 minutes 41 seconds
53	Abdullah umar	70 %	1 minutes 58 seconds
54	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
55	anand	70 %	3 minutes 5 seconds
56	mm alam	70 %	3 minutes 11 seconds
57	fjwkjsj	70 %	10 minutes 28 seconds
58	Muhammad Maaz khan	70 %	17 minutes 40 seconds
59	Jibrail	65 %	1 minutes 17 seconds
60	Noor	65 %	1 minutes 30 seconds
61	david	65 %	1 minutes 30 seconds
62	Muaz Rana	65 %	1 minutes 53 seconds
63	Adil	65 %	2 minutes 13 seconds
64	Hello	65 %	2 minutes 23 seconds
65	Tanoli Bilal	65 %	2 minutes 28 seconds
66	Abid ur Rahman	65 %	5 minutes 29 seconds
67	Ubaidullah	65 %	7 minutes 13 seconds
68	Azan	60 %	1 minutes 35 seconds
69	R	60 %	1 minutes 42 seconds
70	Sadia	60 %	2 minutes 21 seconds
71	Miqdam Haider	60 %	2 minutes 31 seconds
72	Azwa mudassar	60 %	4 minutes 59 seconds
73	Zainab	60 %	12 minutes 58 seconds
74	Ibraheem	60 %	13 minutes 11 seconds
75	ggg	60 %	18 minutes 13 seconds
76	fatima	60 %	20 minutes 21 seconds
77	Asfg	60 %	22 minutes 59 seconds
78	op bolty	60 %	36 minutes 57 seconds
79	Nimra	60 %	50 minutes 28 seconds
80	Ayla Saeed	60 %	55 minutes 29 seconds
81	Ahmad Hassan	55 %	3 minutes 35 seconds
82	Ubaid	55 %	5 minutes 16 seconds
83	Mudasir Jamal	55 %	7 minutes 29 seconds
84	Soem	55 %	8 minutes 46 seconds
85	Muhammad Hamid	55 %	11 minutes 17 seconds
86	Taha	55 %	13 minutes 20 seconds
87	Mee	55 %	17 minutes 49 seconds
88	nemo	55 %	20 minutes 10 seconds
89	None	55 %	25 minutes 16 seconds
90	Maham	55 %	26 minutes 14 seconds
91	Uzair	55 %	28 minutes 36 seconds
92	Abdullah	55 %	41 minutes 29 seconds
93	nelson	55 %	3 hours 35 minutes 50 seconds
94	Noor	50 %	1 minutes 41 seconds
95	Hafsa	50 %	2 minutes 49 seconds
96	Zubaida	50 %	4 minutes 52 seconds
97	Ehsan shah	50 %	5 minutes 6 seconds
98	Safi	50 %	5 minutes 51 seconds
99	As	50 %	6 minutes 17 seconds
100	Sheraz	50 %	6 minutes 24 seconds
101	Iraj	50 %	7 minutes
102	rida	50 %	8 minutes 21 seconds
103	M Miqdam Haider	50 %	8 minutes 36 seconds
104	Mari	50 %	9 minutes 47 seconds
105	sadia	50 %	9 minutes 59 seconds
106	Najeeb Ahmed	50 %	10 minutes 36 seconds
107	Talha Bhatti	50 %	13 minutes 50 seconds
108	osaid	50 %	52 minutes 56 seconds
109	Dawood	45 %	27 seconds
110	GHULAM	45 %	1 minutes 58 seconds
111	Usama	45 %	2 minutes 5 seconds
112	iufudfud	45 %	2 minutes 9 seconds
113	Saif khan	45 %	2 minutes 56 seconds
114	Dileep	45 %	3 minutes 28 seconds
115	amna	45 %	3 minutes 47 seconds
116	..	45 %	4 minutes 20 seconds
117	peaky blinder	45 %	5 minutes 8 seconds
118	Siwiw	45 %	5 minutes 11 seconds
119	Muaz Rana	45 %	6 minutes 14 seconds
120	Muhammmad yahya	45 %	6 minutes 22 seconds
121	Ahmad	45 %	7 minutes 34 seconds
122	Muhammad Ali	45 %	7 minutes 52 seconds
123	Jawad	45 %	8 minutes 33 seconds
124	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
125	hi	45 %	9 minutes 5 seconds
126	Haroon	45 %	14 minutes 19 seconds
127	Raj rathi	45 %	17 minutes 17 seconds
128	anand	45 %	17 minutes 35 seconds
129	Hafeezullah	45 %	21 minutes 49 seconds
130	Adnanh	45 %	59 minutes 58 seconds
131	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
132	Fawad Jillani	40 %	3 minutes 5 seconds
133	Seemab	40 %	3 minutes 48 seconds
134	Haha	40 %	3 minutes 59 seconds
135	Huzaifa ali	40 %	4 minutes 28 seconds
136	Ahmad Ali	40 %	7 minutes 3 seconds
137	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
138	Maaz	40 %	7 minutes 52 seconds
139	ma	40 %	8 minutes 32 seconds
140	Kashif Iqbal	40 %	11 minutes 16 seconds
141	anon	40 %	11 minutes 23 seconds
142	Fatima Ajmal	40 %	13 minutes 17 seconds
143	Najeeb Ahmed	40 %	13 minutes 40 seconds
144	jawad ahmed	40 %	13 minutes 50 seconds
145	TOUQEER ABBAS	40 %	14 minutes 22 seconds
146	.	40 %	15 minutes 19 seconds
147	rida	40 %	15 minutes 51 seconds
148	fawad	40 %	17 minutes 53 seconds
149	Saeed ullah shah	40 %	19 minutes 42 seconds
150	HIBA	35 %	37 seconds
151	Hamna	35 %	1 minutes 8 seconds
152	Qasim	35 %	1 minutes 31 seconds
153	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
154	Sadam Hussain	35 %	2 minutes 14 seconds
155	Amir	35 %	2 minutes 24 seconds
156	Jibrail	35 %	3 minutes 59 seconds
157	Haseeb	35 %	4 minutes 12 seconds
158	madiha	35 %	4 minutes 28 seconds
159	arhum	35 %	4 minutes 28 seconds
160	arya	35 %	6 minutes 1 seconds
161	Muhammad Awais	35 %	6 minutes 2 seconds
162	maaz	35 %	6 minutes 19 seconds
163	Muhammad Ahmad	35 %	6 minutes 34 seconds
164	m	35 %	6 minutes 49 seconds
165	Furqan Ahmed	35 %	6 minutes 55 seconds
166	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
167	Dawood	35 %	7 minutes 24 seconds
168	Nn	35 %	7 minutes 29 seconds
169	Azwa Mudassar	35 %	9 minutes 36 seconds
170	Wajiha	35 %	10 minutes 19 seconds
171	Ahmed Nafees	35 %	12 minutes 24 seconds
172	Fatima	35 %	12 minutes 38 seconds
173	sunila	35 %	13 minutes 13 seconds
174	Ayesha	35 %	13 minutes 53 seconds
175	Moiz	35 %	14 minutes 59 seconds
176	za	35 %	15 minutes 15 seconds
177	sded	35 %	16 minutes 7 seconds
178	Usman Malik	35 %	17 minutes 9 seconds
179	A.	35 %	17 minutes 33 seconds
180	YaSiR	35 %	24 minutes 13 seconds
181	Talha	35 %	25 minutes 12 seconds
182	eman	30 %	1 minutes 15 seconds
183	tashfeen	30 %	1 minutes 37 seconds
184	M Miqdam Haider	30 %	2 minutes 34 seconds
185	Abdullah umar	30 %	2 minutes 37 seconds
186	Muhammad Abu Zar	30 %	2 minutes 44 seconds
187	Rukhsh	30 %	2 minutes 46 seconds
188	Abdullah	30 %	2 minutes 52 seconds
189	Aniya	30 %	3 minutes 8 seconds
190	Ss	30 %	4 minutes 4 seconds
191	GHULAM JILANI	30 %	4 minutes 17 seconds
192	fiza	30 %	4 minutes 43 seconds
193	Rameez	30 %	4 minutes 44 seconds
194	Sohaib Hafeez	30 %	5 minutes 4 seconds
195	ahmar	30 %	5 minutes 34 seconds
196	Ubaid	30 %	5 minutes 54 seconds
197	Asma	30 %	6 minutes 15 seconds
198	Who cares	30 %	6 minutes 46 seconds
199	Arib	30 %	7 minutes 17 seconds
200	muhammad sohaib	30 %	8 minutes 10 seconds
201	Ahmad faiz khan	30 %	8 minutes 11 seconds
202	nemo	30 %	12 minutes 51 seconds
203	Faiq Waleed	30 %	12 minutes 52 seconds
204	Ismail Ismail	30 %	14 minutes 56 seconds
205	y	30 %	16 minutes 32 seconds
206	Zeeshanjaat	30 %	18 minutes 43 seconds
207	ume ayesha	30 %	22 minutes 30 seconds
208	Ggfgh	30 %	23 minutes 33 seconds
209	PLSBOOST	25 %	33 seconds
210	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
211	anaya noor	25 %	2 minutes 21 seconds
212	H	25 %	2 minutes 38 seconds
213	Dawood	25 %	2 minutes 43 seconds
214	Kashif	25 %	3 minutes 13 seconds
215	my	25 %	4 minutes 15 seconds
216	Iqra	25 %	4 minutes 25 seconds
217	hassan	25 %	4 minutes 30 seconds
218	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
219	Saad Khan	25 %	5 minutes 13 seconds
220	Bial	25 %	5 minutes 24 seconds
221	urwah	25 %	5 minutes 31 seconds
222	Abdullah	25 %	5 minutes 38 seconds
223	Muhammad Moeen	25 %	6 minutes 33 seconds
224	Mari	25 %	6 minutes 54 seconds
225	Muneeb	25 %	7 minutes 9 seconds
226	malika	25 %	7 minutes 25 seconds
227	Sadia	25 %	9 minutes 19 seconds
228	Adil	25 %	10 minutes 5 seconds
229	adnan ashiq	25 %	10 minutes 7 seconds
230	ridwan	25 %	13 minutes 23 seconds
231	T	25 %	18 minutes 27 seconds
232	sadaf	25 %	27 minutes 34 seconds
233	groots	25 %	29 minutes 39 seconds
234	maliksubhan	20 %	1 minutes 30 seconds
235	R	20 %	2 minutes 23 seconds
236	Ayesha	20 %	2 minutes 44 seconds
237	Muhammad Ali	20 %	3 minutes
238	Hasnain	20 %	3 minutes 2 seconds
239	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
240	Noor	20 %	4 minutes 3 seconds
241	Bilal	20 %	5 minutes 7 seconds
242	Hamza	20 %	6 minutes 19 seconds
243	kk	20 %	7 minutes 5 seconds
244	Mahad	20 %	8 minutes 5 seconds
245	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
246	Wilayat Ali	20 %	9 minutes 53 seconds
247	Ubaidullah	20 %	10 minutes 58 seconds
248	Daniyal	20 %	26 minutes 24 seconds
249	anaya noor	15 %	1 minutes 19 seconds
250	Annu	15 %	2 minutes 35 seconds
251	Elsa	15 %	2 minutes 57 seconds
252	R	15 %	2 minutes 58 seconds
253	Bilal	15 %	3 minutes 44 seconds
254	Abdullah abbas	15 %	4 minutes 7 seconds
255	Safi ullah	15 %	5 minutes 22 seconds
256	Sateedan	15 %	7 minutes 9 seconds
257	Abid ur Rahman	15 %	8 minutes 34 seconds
258	Fehria Zainab	15 %	13 minutes 11 seconds
259	Talha	10 %	2 minutes 21 seconds
260	Fatima Navaid	5 %	47 seconds
261	MUHAMMAD ABDULLAH	5 %	51 seconds
262	Amina	5 %	2 minutes 2 seconds
263	anaya noor	5 %	3 minutes
264	Name	5 %	8 minutes 3 seconds
265	abdullah umar	0 %	19 seconds
266	ISRAR ALI	0 %	25 seconds
267	azan ali shah	0 %	27 seconds
268	Mahamfaryad	0 %	54 seconds
269	Alisha noor	0 %	1 minutes 9 seconds
270	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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