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.

320

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 / 20

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

-1

None of these

3 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

4 / 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)

5 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

6 / 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})

7 / 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?

8 / 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

9 / 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

10 / 20

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

3/7

1/7

2/7

11 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

12 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

13 / 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

14 / 20

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

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

2π

π /2

Non of these

17 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

18 / 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

19 / 20

20 / 20

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

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	Danyal	100 %	1 minutes 16 seconds
6	osaid	100 %	2 minutes 41 seconds
7	ibraheem	95 %	50 seconds
8	Dawood	95 %	52 seconds
9	NONE	95 %	52 seconds
10	abdullah umar	95 %	56 seconds
11	Saad	95 %	1 minutes 1 seconds
12	Yahya Asad	95 %	1 minutes 12 seconds
13	abdullah umar	95 %	1 minutes 12 seconds
14	Jawad	95 %	1 minutes 26 seconds
15	NONE\	90 %	51 seconds
16	NONE	90 %	56 seconds
17	Muhammad Awais	90 %	1 minutes 6 seconds
18	12345	90 %	1 minutes 11 seconds
19	Saad saeed	90 %	1 minutes 22 seconds
20	Bilal	90 %	1 minutes 30 seconds
21	ibraheem	90 %	1 minutes 34 seconds
22	Taha	90 %	1 minutes 56 seconds
23	urwah	90 %	2 minutes 14 seconds
24	sddc	90 %	2 minutes 32 seconds
25	Ahmed Nafees	90 %	4 minutes 20 seconds
26	Maham	90 %	5 minutes 16 seconds
27	Wardan Ahmed	85 %	40 seconds
28	Dawood	85 %	1 minutes 10 seconds
29	Arib	85 %	1 minutes 20 seconds
30	Hello 2	85 %	1 minutes 23 seconds
31	sadi	85 %	1 minutes 47 seconds
32	nelson	85 %	1 minutes 56 seconds
33	DKrfkf	85 %	2 minutes 17 seconds
34	Mudasir bangash	85 %	2 minutes 20 seconds
35	Saeed	85 %	2 minutes 46 seconds
36	Wardan Ahmed	80 %	40 seconds
37	dawood	80 %	1 minutes
38	Gggg	80 %	1 minutes 4 seconds
39	RIDWAN	80 %	1 minutes 13 seconds
40	N	80 %	1 minutes 39 seconds
41	Talha	80 %	1 minutes 49 seconds
42	Najeeb Ahmed	80 %	1 minutes 52 seconds
43	Shifa Arif	80 %	1 minutes 57 seconds
44	Wardan Ahmed	75 %	38 seconds
45	Wardan Ahmed	75 %	40 seconds
46	Wardan Ahmed	75 %	40 seconds
47	Wardan Ahmed	75 %	41 seconds
48	Saif	75 %	57 seconds
49	urwah	75 %	1 minutes 31 seconds
50	Hi	75 %	1 minutes 37 seconds
51	Ahmad	75 %	1 minutes 38 seconds
52	NOONE	75 %	1 minutes 40 seconds
53	rida	75 %	1 minutes 47 seconds
54	Nimra	75 %	1 minutes 54 seconds
55	Ahmad faiz khan	75 %	2 minutes 21 seconds
56	Muhammmad yahya	75 %	2 minutes 26 seconds
57	ma	75 %	2 minutes 47 seconds
58	JawD	75 %	2 minutes 54 seconds
59	Muhammad Awais	75 %	3 minutes 5 seconds
60	Yasir	75 %	6 minutes 16 seconds
61	raomohib	75 %	31 minutes 2 seconds
62	uzair	75 %	34 minutes 30 seconds
63	Hhhh	70 %	1 minutes 8 seconds
64	Hhh	70 %	1 minutes 37 seconds
65	amna	70 %	1 minutes 41 seconds
66	Haseeb	70 %	1 minutes 50 seconds
67	Abdullah umar	70 %	1 minutes 58 seconds
68	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
69	anand	70 %	3 minutes 5 seconds
70	mm alam	70 %	3 minutes 11 seconds
71	.	70 %	4 minutes 28 seconds
72	fjwkjsj	70 %	10 minutes 28 seconds
73	Muhammad Maaz khan	70 %	17 minutes 40 seconds
74	Danyal	70 %	18 minutes 19 seconds
75	Wardan Ahmed	65 %	39 seconds
76	Ali	65 %	55 seconds
77	Jibrail	65 %	1 minutes 17 seconds
78	Noor	65 %	1 minutes 30 seconds
79	david	65 %	1 minutes 30 seconds
80	Muaz Rana	65 %	1 minutes 53 seconds
81	Adil	65 %	2 minutes 13 seconds
82	Hello	65 %	2 minutes 23 seconds
83	Tanoli Bilal	65 %	2 minutes 28 seconds
84	Abid ur Rahman	65 %	5 minutes 29 seconds
85	Ubaidullah	65 %	7 minutes 13 seconds
86	Wardan Ahmed	60 %	37 seconds
87	Azan	60 %	1 minutes 35 seconds
88	R	60 %	1 minutes 42 seconds
89	Haseeb	60 %	2 minutes 13 seconds
90	Sadia	60 %	2 minutes 21 seconds
91	Miqdam Haider	60 %	2 minutes 31 seconds
92	Azwa mudassar	60 %	4 minutes 59 seconds
93	Zainab	60 %	12 minutes 58 seconds
94	Ibraheem	60 %	13 minutes 11 seconds
95	ggg	60 %	18 minutes 13 seconds
96	fatima	60 %	20 minutes 21 seconds
97	Asfg	60 %	22 minutes 59 seconds
98	op bolty	60 %	36 minutes 57 seconds
99	Nimra	60 %	50 minutes 28 seconds
100	Ayla Saeed	60 %	55 minutes 29 seconds
101	satii	60 %	3 hours 32 minutes 6 seconds
102	Wardan Ahmed	55 %	38 seconds
103	Wardan Ahmed	55 %	39 seconds
104	Ahmad Hassan	55 %	3 minutes 35 seconds
105	Ubaid	55 %	5 minutes 16 seconds
106	Mudasir Jamal	55 %	7 minutes 29 seconds
107	Soem	55 %	8 minutes 46 seconds
108	Muhammad Hamid	55 %	11 minutes 17 seconds
109	Taha	55 %	13 minutes 20 seconds
110	Mee	55 %	17 minutes 49 seconds
111	MANAHIL03171461578	55 %	19 minutes 40 seconds
112	nemo	55 %	20 minutes 10 seconds
113	None	55 %	25 minutes 16 seconds
114	Maham	55 %	26 minutes 14 seconds
115	Uzair	55 %	28 minutes 36 seconds
116	Kisa	55 %	29 minutes 44 seconds
117	Abdullah	55 %	41 minutes 29 seconds
118	nelson	55 %	3 hours 35 minutes 50 seconds
119	Ali	50 %	1 minutes 13 seconds
120	Noor	50 %	1 minutes 41 seconds
121	Hafsa	50 %	2 minutes 49 seconds
122	Fghhh	50 %	2 minutes 54 seconds
123	Zubaida	50 %	4 minutes 52 seconds
124	Ehsan shah	50 %	5 minutes 6 seconds
125	Safi	50 %	5 minutes 51 seconds
126	sms	50 %	6 minutes 4 seconds
127	As	50 %	6 minutes 17 seconds
128	Sheraz	50 %	6 minutes 24 seconds
129	Iraj	50 %	7 minutes
130	rida	50 %	8 minutes 21 seconds
131	M Miqdam Haider	50 %	8 minutes 36 seconds
132	Mari	50 %	9 minutes 47 seconds
133	sadia	50 %	9 minutes 59 seconds
134	Najeeb Ahmed	50 %	10 minutes 36 seconds
135	Talha Bhatti	50 %	13 minutes 50 seconds
136	osaid	50 %	52 minutes 56 seconds
137	Dawood	45 %	27 seconds
138	Wardan Ahmed	45 %	37 seconds
139	GHULAM	45 %	1 minutes 58 seconds
140	Usama	45 %	2 minutes 5 seconds
141	iufudfud	45 %	2 minutes 9 seconds
142	Ggggg	45 %	2 minutes 27 seconds
143	Hhhh	45 %	2 minutes 35 seconds
144	Saif khan	45 %	2 minutes 56 seconds
145	Dileep	45 %	3 minutes 28 seconds
146	amna	45 %	3 minutes 47 seconds
147	..	45 %	4 minutes 20 seconds
148	peaky blinder	45 %	5 minutes 8 seconds
149	Siwiw	45 %	5 minutes 11 seconds
150	Muaz Rana	45 %	6 minutes 14 seconds
151	Muhammmad yahya	45 %	6 minutes 22 seconds
152	Ahmad	45 %	7 minutes 34 seconds
153	Muhammad Ali	45 %	7 minutes 52 seconds
154	Jawad	45 %	8 minutes 33 seconds
155	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
156	hi	45 %	9 minutes 5 seconds
157	Yahya Asad	45 %	12 minutes 31 seconds
158	rr	45 %	12 minutes 44 seconds
159	Haroon	45 %	14 minutes 19 seconds
160	Raj rathi	45 %	17 minutes 17 seconds
161	anand	45 %	17 minutes 35 seconds
162	Hafeezullah	45 %	21 minutes 49 seconds
163	Adnanh	45 %	59 minutes 58 seconds
164	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
165	Wardan Ahmed	40 %	2 minutes 15 seconds
166	Fawad Jillani	40 %	3 minutes 5 seconds
167	Seemab	40 %	3 minutes 48 seconds
168	Haha	40 %	3 minutes 59 seconds
169	Huzaifa ali	40 %	4 minutes 28 seconds
170	Ahmad Ali	40 %	7 minutes 3 seconds
171	jj	40 %	7 minutes 18 seconds
172	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
173	Abdul Moeed	40 %	7 minutes 34 seconds
174	Maaz	40 %	7 minutes 52 seconds
175	ma	40 %	8 minutes 32 seconds
176	Kashif Iqbal	40 %	11 minutes 16 seconds
177	anon	40 %	11 minutes 23 seconds
178	Fatima Ajmal	40 %	13 minutes 17 seconds
179	Najeeb Ahmed	40 %	13 minutes 40 seconds
180	jawad ahmed	40 %	13 minutes 50 seconds
181	TOUQEER ABBAS	40 %	14 minutes 22 seconds
182	.	40 %	15 minutes 19 seconds
183	Shifa Arif	40 %	15 minutes 30 seconds
184	rida	40 %	15 minutes 51 seconds
185	fawad	40 %	17 minutes 53 seconds
186	Saeed ullah shah	40 %	19 minutes 42 seconds
187	HIBA	35 %	37 seconds
188	Wardan Ahmed	35 %	44 seconds
189	Wardan Ahmed	35 %	48 seconds
190	Hamna	35 %	1 minutes 8 seconds
191	Qasim	35 %	1 minutes 31 seconds
192	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
193	Sadam Hussain	35 %	2 minutes 14 seconds
194	Amir	35 %	2 minutes 24 seconds
195	Ali	35 %	3 minutes 6 seconds
196	Jibrail	35 %	3 minutes 59 seconds
197	Haseeb	35 %	4 minutes 12 seconds
198	madiha	35 %	4 minutes 28 seconds
199	arhum	35 %	4 minutes 28 seconds
200	arya	35 %	6 minutes 1 seconds
201	Muhammad Awais	35 %	6 minutes 2 seconds
202	maaz	35 %	6 minutes 19 seconds
203	Muhammad Ahmad	35 %	6 minutes 34 seconds
204	m	35 %	6 minutes 49 seconds
205	Furqan Ahmed	35 %	6 minutes 55 seconds
206	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
207	Dawood	35 %	7 minutes 24 seconds
208	Nn	35 %	7 minutes 29 seconds
209	Azwa Mudassar	35 %	9 minutes 36 seconds
210	Wajiha	35 %	10 minutes 19 seconds
211	Ahmed Nafees	35 %	12 minutes 24 seconds
212	Fatima	35 %	12 minutes 38 seconds
213	sunila	35 %	13 minutes 13 seconds
214	Ayesha	35 %	13 minutes 53 seconds
215	Moiz	35 %	14 minutes 59 seconds
216	za	35 %	15 minutes 15 seconds
217	sded	35 %	16 minutes 7 seconds
218	Usman Malik	35 %	17 minutes 9 seconds
219	A.	35 %	17 minutes 33 seconds
220	YaSiR	35 %	24 minutes 13 seconds
221	Talha	35 %	25 minutes 12 seconds
222	eman	30 %	1 minutes 15 seconds
223	tashfeen	30 %	1 minutes 37 seconds
224	M Miqdam Haider	30 %	2 minutes 34 seconds
225	Abdullah umar	30 %	2 minutes 37 seconds
226	Muhammad Abu Zar	30 %	2 minutes 44 seconds
227	Rukhsh	30 %	2 minutes 46 seconds
228	Abdullah	30 %	2 minutes 52 seconds
229	Aniya	30 %	3 minutes 8 seconds
230	Ss	30 %	4 minutes 4 seconds
231	GHULAM JILANI	30 %	4 minutes 17 seconds
232	fiza	30 %	4 minutes 43 seconds
233	Rameez	30 %	4 minutes 44 seconds
234	Sohaib Hafeez	30 %	5 minutes 4 seconds
235	ahmar	30 %	5 minutes 34 seconds
236	Ubaid	30 %	5 minutes 54 seconds
237	Haseeb	30 %	6 minutes 4 seconds
238	Asma	30 %	6 minutes 15 seconds
239	Who cares	30 %	6 minutes 46 seconds
240	Syed Farrukh Shah	30 %	7 minutes 12 seconds
241	Arib	30 %	7 minutes 17 seconds
242	muhammad sohaib	30 %	8 minutes 10 seconds
243	Ahmad faiz khan	30 %	8 minutes 11 seconds
244	nemo	30 %	12 minutes 51 seconds
245	Faiq Waleed	30 %	12 minutes 52 seconds
246	Ismail Ismail	30 %	14 minutes 56 seconds
247	y	30 %	16 minutes 32 seconds
248	Muhammad musa	30 %	17 minutes 13 seconds
249	Zeeshanjaat	30 %	18 minutes 43 seconds
250	ume ayesha	30 %	22 minutes 30 seconds
251	Ggfgh	30 %	23 minutes 33 seconds
252	PLSBOOST	25 %	33 seconds
253	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
254	anaya noor	25 %	2 minutes 21 seconds
255	ehsan	25 %	2 minutes 36 seconds
256	H	25 %	2 minutes 38 seconds
257	Dawood	25 %	2 minutes 43 seconds
258	Kashif	25 %	3 minutes 13 seconds
259	my	25 %	4 minutes 15 seconds
260	Iqra	25 %	4 minutes 25 seconds
261	hassan	25 %	4 minutes 30 seconds
262	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
263	Saad Khan	25 %	5 minutes 13 seconds
264	Bial	25 %	5 minutes 24 seconds
265	urwah	25 %	5 minutes 31 seconds
266	.	25 %	5 minutes 37 seconds
267	Abdullah	25 %	5 minutes 38 seconds
268	Muhammad Moeen	25 %	6 minutes 33 seconds
269	Mari	25 %	6 minutes 54 seconds
270	Muneeb	25 %	7 minutes 9 seconds
271	malika	25 %	7 minutes 25 seconds
272	Sadia	25 %	9 minutes 19 seconds
273	Adil	25 %	10 minutes 5 seconds
274	adnan ashiq	25 %	10 minutes 7 seconds
275	ridwan	25 %	13 minutes 23 seconds
276	T	25 %	18 minutes 27 seconds
277	sadaf	25 %	27 minutes 34 seconds
278	groots	25 %	29 minutes 39 seconds
279	Aydha	20 %	1 minutes 18 seconds
280	maliksubhan	20 %	1 minutes 30 seconds
281	R	20 %	2 minutes 23 seconds
282	Noor ul Huda	20 %	2 minutes 40 seconds
283	Ayesha	20 %	2 minutes 44 seconds
284	Muhammad Ali	20 %	3 minutes
285	Hasnain	20 %	3 minutes 2 seconds
286	Meerab Jawwad	20 %	3 minutes 9 seconds
287	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
288	Noor	20 %	4 minutes 3 seconds
289	Zmsox	20 %	4 minutes 53 seconds
290	Bilal	20 %	5 minutes 7 seconds
291	Hamza	20 %	6 minutes 19 seconds
292	kk	20 %	7 minutes 5 seconds
293	Mahad	20 %	8 minutes 5 seconds
294	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
295	Sheharyar Khan	20 %	9 minutes 10 seconds
296	Wilayat Ali	20 %	9 minutes 53 seconds
297	Ubaidullah	20 %	10 minutes 58 seconds
298	Daniyal	20 %	26 minutes 24 seconds
299	anaya noor	15 %	1 minutes 19 seconds
300	Annu	15 %	2 minutes 35 seconds
301	Elsa	15 %	2 minutes 57 seconds
302	R	15 %	2 minutes 58 seconds
303	Bilal	15 %	3 minutes 44 seconds
304	Abdullah abbas	15 %	4 minutes 7 seconds
305	Safi ullah	15 %	5 minutes 22 seconds
306	Sateedan	15 %	7 minutes 9 seconds
307	Abid ur Rahman	15 %	8 minutes 34 seconds
308	Fehria Zainab	15 %	13 minutes 11 seconds
309	Talha	10 %	2 minutes 21 seconds
310	Fatima Navaid	5 %	47 seconds
311	MUHAMMAD ABDULLAH	5 %	51 seconds
312	Amina	5 %	2 minutes 2 seconds
313	anaya noor	5 %	3 minutes
314	Name	5 %	8 minutes 3 seconds
315	abdullah umar	0 %	19 seconds
316	ISRAR ALI	0 %	25 seconds
317	azan ali shah	0 %	27 seconds
318	Mahamfaryad	0 %	54 seconds
319	Alisha noor	0 %	1 minutes 9 seconds
320	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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